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Finding the Fourth Proportional to 15,316.62, 22,978.56 and 5,456.76

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Solution

The fourth proportional to 15,316.62, 22,978.56 and 5,456.76 is: 8,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,316.62 : 22,978.56 = 5,456.76 : x
  2. Step 2: Convert to fraction form
    15,316.62/22,978.56 = 5,456.76/x
  3. Step 3: Cross multiply
    15,316.62x = 22,978.56 × 5,456.76
  4. Step 4: Simplify right side
    15,316.62x = 125,388,487.07
  5. Step 5: Solve for x
    x = 125,388,487.07/15,316.62
  6. Step 6: Final answer
    x = 8,186.43

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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.