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Finding the Fourth Proportional to 8,654.08, 12,971.76 and 3,454.24

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Solution

The fourth proportional to 8,654.08, 12,971.76 and 3,454.24 is: 5,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.08 : 12,971.76 = 3,454.24 : x
  2. Step 2: Convert to fraction form
    8,654.08/12,971.76 = 3,454.24/x
  3. Step 3: Cross multiply
    8,654.08x = 12,971.76 × 3,454.24
  4. Step 4: Simplify right side
    8,654.08x = 44,807,572.26
  5. Step 5: Solve for x
    x = 44,807,572.26/8,654.08
  6. Step 6: Final answer
    x = 5,177.62

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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.