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Finding the Fourth Proportional to 10,193.98, 15,290.97 and 2,798.50

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Solution

The fourth proportional to 10,193.98, 15,290.97 and 2,798.50 is: 4,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.98 : 15,290.97 = 2,798.50 : x
  2. Step 2: Convert to fraction form
    10,193.98/15,290.97 = 2,798.50/x
  3. Step 3: Cross multiply
    10,193.98x = 15,290.97 × 2,798.50
  4. Step 4: Simplify right side
    10,193.98x = 42,791,779.55
  5. Step 5: Solve for x
    x = 42,791,779.55/10,193.98
  6. Step 6: Final answer
    x = 4,197.75

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.