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Finding the Fourth Proportional to 13,990, 20,987.88 and 5,782

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Solution

The fourth proportional to 13,990, 20,987.88 and 5,782 is: 8,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990 : 20,987.88 = 5,782 : x
  2. Step 2: Convert to fraction form
    13,990/20,987.88 = 5,782/x
  3. Step 3: Cross multiply
    13,990x = 20,987.88 × 5,782
  4. Step 4: Simplify right side
    13,990x = 121,351,922.16
  5. Step 5: Solve for x
    x = 121,351,922.16/13,990
  6. Step 6: Final answer
    x = 8,674.19

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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.