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Finding the Fourth Proportional to 10,489.60, 15,734.40 and 4,252.60

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Solution

The fourth proportional to 10,489.60, 15,734.40 and 4,252.60 is: 6,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.60 : 15,734.40 = 4,252.60 : x
  2. Step 2: Convert to fraction form
    10,489.60/15,734.40 = 4,252.60/x
  3. Step 3: Cross multiply
    10,489.60x = 15,734.40 × 4,252.60
  4. Step 4: Simplify right side
    10,489.60x = 66,912,109.44
  5. Step 5: Solve for x
    x = 66,912,109.44/10,489.60
  6. Step 6: Final answer
    x = 6,378.90

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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.