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Finding the Fourth Proportional to 32,931.20, 45,453.84 and 20,348.84

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Solution

The fourth proportional to 32,931.20, 45,453.84 and 20,348.84 is: 28,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931.20 : 45,453.84 = 20,348.84 : x
  2. Step 2: Convert to fraction form
    32,931.20/45,453.84 = 20,348.84/x
  3. Step 3: Cross multiply
    32,931.20x = 45,453.84 × 20,348.84
  4. Step 4: Simplify right side
    32,931.20x = 924,932,917.55
  5. Step 5: Solve for x
    x = 924,932,917.55/32,931.20
  6. Step 6: Final answer
    x = 28,086.83

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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.