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Finding the Fourth Proportional to 20,879.87, 31,328.00 and 9,184.88

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Solution

The fourth proportional to 20,879.87, 31,328.00 and 9,184.88 is: 13,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,879.87 : 31,328.00 = 9,184.88 : x
  2. Step 2: Convert to fraction form
    20,879.87/31,328.00 = 9,184.88/x
  3. Step 3: Cross multiply
    20,879.87x = 31,328.00 × 9,184.88
  4. Step 4: Simplify right side
    20,879.87x = 287,743,718.08
  5. Step 5: Solve for x
    x = 287,743,718.08/20,879.87
  6. Step 6: Final answer
    x = 13,780.92

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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.