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Finding the Fourth Proportional to 15,872, 23,809.10 and 6,638

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Solution

The fourth proportional to 15,872, 23,809.10 and 6,638 is: 9,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872 : 23,809.10 = 6,638 : x
  2. Step 2: Convert to fraction form
    15,872/23,809.10 = 6,638/x
  3. Step 3: Cross multiply
    15,872x = 23,809.10 × 6,638
  4. Step 4: Simplify right side
    15,872x = 158,044,805.80
  5. Step 5: Solve for x
    x = 158,044,805.80/15,872
  6. Step 6: Final answer
    x = 9,957.46

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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.