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Finding the Fourth Proportional to 32,379.87, 48,488.70 and 20,497.78

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Solution

The fourth proportional to 32,379.87, 48,488.70 and 20,497.78 is: 30,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,379.87 : 48,488.70 = 20,497.78 : x
  2. Step 2: Convert to fraction form
    32,379.87/48,488.70 = 20,497.78/x
  3. Step 3: Cross multiply
    32,379.87x = 48,488.70 × 20,497.78
  4. Step 4: Simplify right side
    32,379.87x = 993,910,705.09
  5. Step 5: Solve for x
    x = 993,910,705.09/32,379.87
  6. Step 6: Final answer
    x = 30,695.33

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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.