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Finding the Fourth Proportional to 9,805.12, 14,691.92 and 8,810.40

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Solution

The fourth proportional to 9,805.12, 14,691.92 and 8,810.40 is: 13,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.12 : 14,691.92 = 8,810.40 : x
  2. Step 2: Convert to fraction form
    9,805.12/14,691.92 = 8,810.40/x
  3. Step 3: Cross multiply
    9,805.12x = 14,691.92 × 8,810.40
  4. Step 4: Simplify right side
    9,805.12x = 129,441,691.97
  5. Step 5: Solve for x
    x = 129,441,691.97/9,805.12
  6. Step 6: Final answer
    x = 13,201.44

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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.