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Finding the Fourth Proportional to 7,039.17, 9,713.97 and 3,895.29

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Solution

The fourth proportional to 7,039.17, 9,713.97 and 3,895.29 is: 5,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.17 : 9,713.97 = 3,895.29 : x
  2. Step 2: Convert to fraction form
    7,039.17/9,713.97 = 3,895.29/x
  3. Step 3: Cross multiply
    7,039.17x = 9,713.97 × 3,895.29
  4. Step 4: Simplify right side
    7,039.17x = 37,838,730.20
  5. Step 5: Solve for x
    x = 37,838,730.20/7,039.17
  6. Step 6: Final answer
    x = 5,375.45

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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.