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Finding the Fourth Proportional to 14,729.60, 20,325 and 9,959.92

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Solution

The fourth proportional to 14,729.60, 20,325 and 9,959.92 is: 13,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,729.60 : 20,325 = 9,959.92 : x
  2. Step 2: Convert to fraction form
    14,729.60/20,325 = 9,959.92/x
  3. Step 3: Cross multiply
    14,729.60x = 20,325 × 9,959.92
  4. Step 4: Simplify right side
    14,729.60x = 202,435,374
  5. Step 5: Solve for x
    x = 202,435,374/14,729.60
  6. Step 6: Final answer
    x = 13,743.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.