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Finding the Fourth Proportional to 7,963.71, 10,988.02 and 5,979

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Solution

The fourth proportional to 7,963.71, 10,988.02 and 5,979 is: 8,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.71 : 10,988.02 = 5,979 : x
  2. Step 2: Convert to fraction form
    7,963.71/10,988.02 = 5,979/x
  3. Step 3: Cross multiply
    7,963.71x = 10,988.02 × 5,979
  4. Step 4: Simplify right side
    7,963.71x = 65,697,371.58
  5. Step 5: Solve for x
    x = 65,697,371.58/7,963.71
  6. Step 6: Final answer
    x = 8,249.59

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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.