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Finding the Fourth Proportional to 10,250.80, 15,372.60 and 4,706.80

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Solution

The fourth proportional to 10,250.80, 15,372.60 and 4,706.80 is: 7,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.80 : 15,372.60 = 4,706.80 : x
  2. Step 2: Convert to fraction form
    10,250.80/15,372.60 = 4,706.80/x
  3. Step 3: Cross multiply
    10,250.80x = 15,372.60 × 4,706.80
  4. Step 4: Simplify right side
    10,250.80x = 72,355,753.68
  5. Step 5: Solve for x
    x = 72,355,753.68/10,250.80
  6. Step 6: Final answer
    x = 7,058.55

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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.