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Finding the Fourth Proportional to 13,382.20, 20,074.92 and 5,590

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Solution

The fourth proportional to 13,382.20, 20,074.92 and 5,590 is: 8,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.20 : 20,074.92 = 5,590 : x
  2. Step 2: Convert to fraction form
    13,382.20/20,074.92 = 5,590/x
  3. Step 3: Cross multiply
    13,382.20x = 20,074.92 × 5,590
  4. Step 4: Simplify right side
    13,382.20x = 112,218,802.80
  5. Step 5: Solve for x
    x = 112,218,802.80/13,382.20
  6. Step 6: Final answer
    x = 8,385.68

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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.