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Finding the Fourth Proportional to 8,939.88, 12,342.60 and 8,382

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Solution

The fourth proportional to 8,939.88, 12,342.60 and 8,382 is: 11,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,939.88 : 12,342.60 = 8,382 : x
  2. Step 2: Convert to fraction form
    8,939.88/12,342.60 = 8,382/x
  3. Step 3: Cross multiply
    8,939.88x = 12,342.60 × 8,382
  4. Step 4: Simplify right side
    8,939.88x = 103,455,673.20
  5. Step 5: Solve for x
    x = 103,455,673.20/8,939.88
  6. Step 6: Final answer
    x = 11,572.38

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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.