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Finding the Fourth Proportional to 7,972.38, 11,000.70 and 4,987.17

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Solution

The fourth proportional to 7,972.38, 11,000.70 and 4,987.17 is: 6,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.38 : 11,000.70 = 4,987.17 : x
  2. Step 2: Convert to fraction form
    7,972.38/11,000.70 = 4,987.17/x
  3. Step 3: Cross multiply
    7,972.38x = 11,000.70 × 4,987.17
  4. Step 4: Simplify right side
    7,972.38x = 54,862,361.02
  5. Step 5: Solve for x
    x = 54,862,361.02/7,972.38
  6. Step 6: Final answer
    x = 6,881.55

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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.