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Finding the Fourth Proportional to 31,879.60, 47,820.31 and 18,722.97

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Solution

The fourth proportional to 31,879.60, 47,820.31 and 18,722.97 is: 28,084.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.60 : 47,820.31 = 18,722.97 : x
  2. Step 2: Convert to fraction form
    31,879.60/47,820.31 = 18,722.97/x
  3. Step 3: Cross multiply
    31,879.60x = 47,820.31 × 18,722.97
  4. Step 4: Simplify right side
    31,879.60x = 895,338,182.71
  5. Step 5: Solve for x
    x = 895,338,182.71/31,879.60
  6. Step 6: Final answer
    x = 28,084.99

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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.