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Finding the Fourth Proportional to 21,891.39, 32,839.52 and 9,412.68

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Solution

The fourth proportional to 21,891.39, 32,839.52 and 9,412.68 is: 14,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.39 : 32,839.52 = 9,412.68 : x
  2. Step 2: Convert to fraction form
    21,891.39/32,839.52 = 9,412.68/x
  3. Step 3: Cross multiply
    21,891.39x = 32,839.52 × 9,412.68
  4. Step 4: Simplify right side
    21,891.39x = 309,107,681.85
  5. Step 5: Solve for x
    x = 309,107,681.85/21,891.39
  6. Step 6: Final answer
    x = 14,120.06

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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.