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Finding the Fourth Proportional to 20,679.84, 28,538 and 11,248.40

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Solution

The fourth proportional to 20,679.84, 28,538 and 11,248.40 is: 15,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679.84 : 28,538 = 11,248.40 : x
  2. Step 2: Convert to fraction form
    20,679.84/28,538 = 11,248.40/x
  3. Step 3: Cross multiply
    20,679.84x = 28,538 × 11,248.40
  4. Step 4: Simplify right side
    20,679.84x = 321,006,839.20
  5. Step 5: Solve for x
    x = 321,006,839.20/20,679.84
  6. Step 6: Final answer
    x = 15,522.69

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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.