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Finding the Fourth Proportional to 10,464.80, 15,697.20 and 9,952.80

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Solution

The fourth proportional to 10,464.80, 15,697.20 and 9,952.80 is: 14,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.80 : 15,697.20 = 9,952.80 : x
  2. Step 2: Convert to fraction form
    10,464.80/15,697.20 = 9,952.80/x
  3. Step 3: Cross multiply
    10,464.80x = 15,697.20 × 9,952.80
  4. Step 4: Simplify right side
    10,464.80x = 156,231,092.16
  5. Step 5: Solve for x
    x = 156,231,092.16/10,464.80
  6. Step 6: Final answer
    x = 14,929.20

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