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Finding the Fourth Proportional to 7,132.35, 9,822.38 and 6,979.71

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Solution

The fourth proportional to 7,132.35, 9,822.38 and 6,979.71 is: 9,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.35 : 9,822.38 = 6,979.71 : x
  2. Step 2: Convert to fraction form
    7,132.35/9,822.38 = 6,979.71/x
  3. Step 3: Cross multiply
    7,132.35x = 9,822.38 × 6,979.71
  4. Step 4: Simplify right side
    7,132.35x = 68,557,329.01
  5. Step 5: Solve for x
    x = 68,557,329.01/7,132.35
  6. Step 6: Final answer
    x = 9,612.17

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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.