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Finding the Fourth Proportional to 13,772.72, 20,652.78 and 7,534.88

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Solution

The fourth proportional to 13,772.72, 20,652.78 and 7,534.88 is: 11,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.72 : 20,652.78 = 7,534.88 : x
  2. Step 2: Convert to fraction form
    13,772.72/20,652.78 = 7,534.88/x
  3. Step 3: Cross multiply
    13,772.72x = 20,652.78 × 7,534.88
  4. Step 4: Simplify right side
    13,772.72x = 155,616,218.97
  5. Step 5: Solve for x
    x = 155,616,218.97/13,772.72
  6. Step 6: Final answer
    x = 11,298.87

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1.5x scale

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.