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Finding the Fourth Proportional to 20,281.25, 27,988.13 and 11,449.25

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Solution

The fourth proportional to 20,281.25, 27,988.13 and 11,449.25 is: 15,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.25 : 27,988.13 = 11,449.25 : x
  2. Step 2: Convert to fraction form
    20,281.25/27,988.13 = 11,449.25/x
  3. Step 3: Cross multiply
    20,281.25x = 27,988.13 × 11,449.25
  4. Step 4: Simplify right side
    20,281.25x = 320,443,097.40
  5. Step 5: Solve for x
    x = 320,443,097.40/20,281.25
  6. Step 6: Final answer
    x = 15,799.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.