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Finding the Fourth Proportional to 20,969.61, 31,454.14 and 8,489.53

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Solution

The fourth proportional to 20,969.61, 31,454.14 and 8,489.53 is: 12,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.61 : 31,454.14 = 8,489.53 : x
  2. Step 2: Convert to fraction form
    20,969.61/31,454.14 = 8,489.53/x
  3. Step 3: Cross multiply
    20,969.61x = 31,454.14 × 8,489.53
  4. Step 4: Simplify right side
    20,969.61x = 267,030,865.15
  5. Step 5: Solve for x
    x = 267,030,865.15/20,969.61
  6. Step 6: Final answer
    x = 12,734.18

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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.