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Finding the Fourth Proportional to 13,843.64, 20,765.76 and 4,959.55

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Solution

The fourth proportional to 13,843.64, 20,765.76 and 4,959.55 is: 7,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.64 : 20,765.76 = 4,959.55 : x
  2. Step 2: Convert to fraction form
    13,843.64/20,765.76 = 4,959.55/x
  3. Step 3: Cross multiply
    13,843.64x = 20,765.76 × 4,959.55
  4. Step 4: Simplify right side
    13,843.64x = 102,988,773.09
  5. Step 5: Solve for x
    x = 102,988,773.09/13,843.64
  6. Step 6: Final answer
    x = 7,439.43

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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.