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Finding the Fourth Proportional to 16,115.76, 24,172.56 and 4,428

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Solution

The fourth proportional to 16,115.76, 24,172.56 and 4,428 is: 6,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,115.76 : 24,172.56 = 4,428 : x
  2. Step 2: Convert to fraction form
    16,115.76/24,172.56 = 4,428/x
  3. Step 3: Cross multiply
    16,115.76x = 24,172.56 × 4,428
  4. Step 4: Simplify right side
    16,115.76x = 107,036,095.68
  5. Step 5: Solve for x
    x = 107,036,095.68/16,115.76
  6. Step 6: Final answer
    x = 6,641.70

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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.