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Finding the Fourth Proportional to 20,565.26, 30,847.88 and 4,982.90

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Solution

The fourth proportional to 20,565.26, 30,847.88 and 4,982.90 is: 7,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.26 : 30,847.88 = 4,982.90 : x
  2. Step 2: Convert to fraction form
    20,565.26/30,847.88 = 4,982.90/x
  3. Step 3: Cross multiply
    20,565.26x = 30,847.88 × 4,982.90
  4. Step 4: Simplify right side
    20,565.26x = 153,711,901.25
  5. Step 5: Solve for x
    x = 153,711,901.25/20,565.26
  6. Step 6: Final answer
    x = 7,474.35

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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.