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Finding the Fourth Proportional to 10,915.80, 16,335.90 and 6,536.40

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Solution

The fourth proportional to 10,915.80, 16,335.90 and 6,536.40 is: 9,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.80 : 16,335.90 = 6,536.40 : x
  2. Step 2: Convert to fraction form
    10,915.80/16,335.90 = 6,536.40/x
  3. Step 3: Cross multiply
    10,915.80x = 16,335.90 × 6,536.40
  4. Step 4: Simplify right side
    10,915.80x = 106,777,976.76
  5. Step 5: Solve for x
    x = 106,777,976.76/10,915.80
  6. Step 6: Final answer
    x = 9,781.97

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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.