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Finding the Fourth Proportional to 10,967.52, 15,125.16 and 9,380.16

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Solution

The fourth proportional to 10,967.52, 15,125.16 and 9,380.16 is: 12,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.52 : 15,125.16 = 9,380.16 : x
  2. Step 2: Convert to fraction form
    10,967.52/15,125.16 = 9,380.16/x
  3. Step 3: Cross multiply
    10,967.52x = 15,125.16 × 9,380.16
  4. Step 4: Simplify right side
    10,967.52x = 141,876,420.83
  5. Step 5: Solve for x
    x = 141,876,420.83/10,967.52
  6. Step 6: Final answer
    x = 12,936.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.