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Finding the Fourth Proportional to 15,909, 23,872.18 and 7,701

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Solution

The fourth proportional to 15,909, 23,872.18 and 7,701 is: 11,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909 : 23,872.18 = 7,701 : x
  2. Step 2: Convert to fraction form
    15,909/23,872.18 = 7,701/x
  3. Step 3: Cross multiply
    15,909x = 23,872.18 × 7,701
  4. Step 4: Simplify right side
    15,909x = 183,839,658.18
  5. Step 5: Solve for x
    x = 183,839,658.18/15,909
  6. Step 6: Final answer
    x = 11,555.70

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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.