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Finding the Fourth Proportional to 10,115.38, 15,168.93 and 5,963.68

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Solution

The fourth proportional to 10,115.38, 15,168.93 and 5,963.68 is: 8,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.38 : 15,168.93 = 5,963.68 : x
  2. Step 2: Convert to fraction form
    10,115.38/15,168.93 = 5,963.68/x
  3. Step 3: Cross multiply
    10,115.38x = 15,168.93 × 5,963.68
  4. Step 4: Simplify right side
    10,115.38x = 90,462,644.46
  5. Step 5: Solve for x
    x = 90,462,644.46/10,115.38
  6. Step 6: Final answer
    x = 8,943.08

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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.