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Finding the Fourth Proportional to 7,327, 10,112.91 and 5,205.61

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Solution

The fourth proportional to 7,327, 10,112.91 and 5,205.61 is: 7,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327 : 10,112.91 = 5,205.61 : x
  2. Step 2: Convert to fraction form
    7,327/10,112.91 = 5,205.61/x
  3. Step 3: Cross multiply
    7,327x = 10,112.91 × 5,205.61
  4. Step 4: Simplify right side
    7,327x = 52,643,865.43
  5. Step 5: Solve for x
    x = 52,643,865.43/7,327
  6. Step 6: Final answer
    x = 7,184.91

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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.