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Finding the Fourth Proportional to 6,656.92, 9,983.22 and 3,146.38

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Solution

The fourth proportional to 6,656.92, 9,983.22 and 3,146.38 is: 4,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.92 : 9,983.22 = 3,146.38 : x
  2. Step 2: Convert to fraction form
    6,656.92/9,983.22 = 3,146.38/x
  3. Step 3: Cross multiply
    6,656.92x = 9,983.22 × 3,146.38
  4. Step 4: Simplify right side
    6,656.92x = 31,411,003.74
  5. Step 5: Solve for x
    x = 31,411,003.74/6,656.92
  6. Step 6: Final answer
    x = 4,718.55

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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.