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Finding the Fourth Proportional to 38,191.50, 52,704.45 and 21,424.50

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Solution

The fourth proportional to 38,191.50, 52,704.45 and 21,424.50 is: 29,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191.50 : 52,704.45 = 21,424.50 : x
  2. Step 2: Convert to fraction form
    38,191.50/52,704.45 = 21,424.50/x
  3. Step 3: Cross multiply
    38,191.50x = 52,704.45 × 21,424.50
  4. Step 4: Simplify right side
    38,191.50x = 1,129,166,489.03
  5. Step 5: Solve for x
    x = 1,129,166,489.03/38,191.50
  6. Step 6: Final answer
    x = 29,565.91

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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.