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Finding the Fourth Proportional to 38,720.70, 58,081.46 and 16,520.22

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Solution

The fourth proportional to 38,720.70, 58,081.46 and 16,520.22 is: 24,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,720.70 : 58,081.46 = 16,520.22 : x
  2. Step 2: Convert to fraction form
    38,720.70/58,081.46 = 16,520.22/x
  3. Step 3: Cross multiply
    38,720.70x = 58,081.46 × 16,520.22
  4. Step 4: Simplify right side
    38,720.70x = 959,518,414.52
  5. Step 5: Solve for x
    x = 959,518,414.52/38,720.70
  6. Step 6: Final answer
    x = 24,780.50

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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.