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Finding the Fourth Proportional to 15,108, 22,657.68 and 6,344.88

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Solution

The fourth proportional to 15,108, 22,657.68 and 6,344.88 is: 9,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,108 : 22,657.68 = 6,344.88 : x
  2. Step 2: Convert to fraction form
    15,108/22,657.68 = 6,344.88/x
  3. Step 3: Cross multiply
    15,108x = 22,657.68 × 6,344.88
  4. Step 4: Simplify right side
    15,108x = 143,760,260.68
  5. Step 5: Solve for x
    x = 143,760,260.68/15,108
  6. Step 6: Final answer
    x = 9,515.51

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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.