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Finding the Fourth Proportional to 5,882, 8,117.16 and 3,398

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Solution

The fourth proportional to 5,882, 8,117.16 and 3,398 is: 4,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882 : 8,117.16 = 3,398 : x
  2. Step 2: Convert to fraction form
    5,882/8,117.16 = 3,398/x
  3. Step 3: Cross multiply
    5,882x = 8,117.16 × 3,398
  4. Step 4: Simplify right side
    5,882x = 27,582,109.68
  5. Step 5: Solve for x
    x = 27,582,109.68/5,882
  6. Step 6: Final answer
    x = 4,689.24

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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.