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Finding the Fourth Proportional to 20,577.92, 30,869.82 and 6,347.60

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Solution

The fourth proportional to 20,577.92, 30,869.82 and 6,347.60 is: 9,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.92 : 30,869.82 = 6,347.60 : x
  2. Step 2: Convert to fraction form
    20,577.92/30,869.82 = 6,347.60/x
  3. Step 3: Cross multiply
    20,577.92x = 30,869.82 × 6,347.60
  4. Step 4: Simplify right side
    20,577.92x = 195,949,269.43
  5. Step 5: Solve for x
    x = 195,949,269.43/20,577.92
  6. Step 6: Final answer
    x = 9,522.31

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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.