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Finding the Fourth Proportional to 10,578.21, 15,836.17 and 7,817.20

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Solution

The fourth proportional to 10,578.21, 15,836.17 and 7,817.20 is: 11,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.21 : 15,836.17 = 7,817.20 : x
  2. Step 2: Convert to fraction form
    10,578.21/15,836.17 = 7,817.20/x
  3. Step 3: Cross multiply
    10,578.21x = 15,836.17 × 7,817.20
  4. Step 4: Simplify right side
    10,578.21x = 123,794,508.12
  5. Step 5: Solve for x
    x = 123,794,508.12/10,578.21
  6. Step 6: Final answer
    x = 11,702.78

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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.