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Finding the Fourth Proportional to 15,331.92, 22,978.02 and 6,437.16

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Solution

The fourth proportional to 15,331.92, 22,978.02 and 6,437.16 is: 9,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,331.92 : 22,978.02 = 6,437.16 : x
  2. Step 2: Convert to fraction form
    15,331.92/22,978.02 = 6,437.16/x
  3. Step 3: Cross multiply
    15,331.92x = 22,978.02 × 6,437.16
  4. Step 4: Simplify right side
    15,331.92x = 147,913,191.22
  5. Step 5: Solve for x
    x = 147,913,191.22/15,331.92
  6. Step 6: Final answer
    x = 9,647.40

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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.