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Finding the Fourth Proportional to 10,124.69, 15,186.92 and 3,549.30

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Solution

The fourth proportional to 10,124.69, 15,186.92 and 3,549.30 is: 5,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.69 : 15,186.92 = 3,549.30 : x
  2. Step 2: Convert to fraction form
    10,124.69/15,186.92 = 3,549.30/x
  3. Step 3: Cross multiply
    10,124.69x = 15,186.92 × 3,549.30
  4. Step 4: Simplify right side
    10,124.69x = 53,902,917.41
  5. Step 5: Solve for x
    x = 53,902,917.41/10,124.69
  6. Step 6: Final answer
    x = 5,323.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.