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Finding the Fourth Proportional to 10,354.10, 15,531.15 and 9,230.90

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Solution

The fourth proportional to 10,354.10, 15,531.15 and 9,230.90 is: 13,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.10 : 15,531.15 = 9,230.90 : x
  2. Step 2: Convert to fraction form
    10,354.10/15,531.15 = 9,230.90/x
  3. Step 3: Cross multiply
    10,354.10x = 15,531.15 × 9,230.90
  4. Step 4: Simplify right side
    10,354.10x = 143,366,492.54
  5. Step 5: Solve for x
    x = 143,366,492.54/10,354.10
  6. Step 6: Final answer
    x = 13,846.35

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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.