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Finding the Fourth Proportional to 38,493.41, 57,728.57 and 13,528.80

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Solution

The fourth proportional to 38,493.41, 57,728.57 and 13,528.80 is: 20,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.41 : 57,728.57 = 13,528.80 : x
  2. Step 2: Convert to fraction form
    38,493.41/57,728.57 = 13,528.80/x
  3. Step 3: Cross multiply
    38,493.41x = 57,728.57 × 13,528.80
  4. Step 4: Simplify right side
    38,493.41x = 780,998,210.17
  5. Step 5: Solve for x
    x = 780,998,210.17/38,493.41
  6. Step 6: Final answer
    x = 20,289.14

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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.