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Finding the Fourth Proportional to 10,954.60, 16,431.90 and 7,498.60

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Solution

The fourth proportional to 10,954.60, 16,431.90 and 7,498.60 is: 11,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.60 : 16,431.90 = 7,498.60 : x
  2. Step 2: Convert to fraction form
    10,954.60/16,431.90 = 7,498.60/x
  3. Step 3: Cross multiply
    10,954.60x = 16,431.90 × 7,498.60
  4. Step 4: Simplify right side
    10,954.60x = 123,216,245.34
  5. Step 5: Solve for x
    x = 123,216,245.34/10,954.60
  6. Step 6: Final answer
    x = 11,247.90

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Half 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.