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Finding the Fourth Proportional to 15,102, 20,842.92 and 9,511.92

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Solution

The fourth proportional to 15,102, 20,842.92 and 9,511.92 is: 13,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102 : 20,842.92 = 9,511.92 : x
  2. Step 2: Convert to fraction form
    15,102/20,842.92 = 9,511.92/x
  3. Step 3: Cross multiply
    15,102x = 20,842.92 × 9,511.92
  4. Step 4: Simplify right side
    15,102x = 198,256,187.61
  5. Step 5: Solve for x
    x = 198,256,187.61/15,102
  6. Step 6: Final answer
    x = 13,127.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.