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Finding the Fourth Proportional to 7,042.76, 9,718.92 and 3,856.02

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Solution

The fourth proportional to 7,042.76, 9,718.92 and 3,856.02 is: 5,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.76 : 9,718.92 = 3,856.02 : x
  2. Step 2: Convert to fraction form
    7,042.76/9,718.92 = 3,856.02/x
  3. Step 3: Cross multiply
    7,042.76x = 9,718.92 × 3,856.02
  4. Step 4: Simplify right side
    7,042.76x = 37,476,349.90
  5. Step 5: Solve for x
    x = 37,476,349.90/7,042.76
  6. Step 6: Final answer
    x = 5,321.26

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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.