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Finding the Fourth Proportional to 7,220.52, 10,830.78 and 2,290.50

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Solution

The fourth proportional to 7,220.52, 10,830.78 and 2,290.50 is: 3,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.52 : 10,830.78 = 2,290.50 : x
  2. Step 2: Convert to fraction form
    7,220.52/10,830.78 = 2,290.50/x
  3. Step 3: Cross multiply
    7,220.52x = 10,830.78 × 2,290.50
  4. Step 4: Simplify right side
    7,220.52x = 24,807,901.59
  5. Step 5: Solve for x
    x = 24,807,901.59/7,220.52
  6. Step 6: Final answer
    x = 3,435.75

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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.