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Finding the Fourth Proportional to 7,874.88, 11,815.20 and 2,681.28

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Solution

The fourth proportional to 7,874.88, 11,815.20 and 2,681.28 is: 4,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.88 : 11,815.20 = 2,681.28 : x
  2. Step 2: Convert to fraction form
    7,874.88/11,815.20 = 2,681.28/x
  3. Step 3: Cross multiply
    7,874.88x = 11,815.20 × 2,681.28
  4. Step 4: Simplify right side
    7,874.88x = 31,679,859.46
  5. Step 5: Solve for x
    x = 31,679,859.46/7,874.88
  6. Step 6: Final answer
    x = 4,022.90

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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.