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Finding the Fourth Proportional to 5,842.49, 8,062.61 and 3,189.91

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Solution

The fourth proportional to 5,842.49, 8,062.61 and 3,189.91 is: 4,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.49 : 8,062.61 = 3,189.91 : x
  2. Step 2: Convert to fraction form
    5,842.49/8,062.61 = 3,189.91/x
  3. Step 3: Cross multiply
    5,842.49x = 8,062.61 × 3,189.91
  4. Step 4: Simplify right side
    5,842.49x = 25,718,964.16
  5. Step 5: Solve for x
    x = 25,718,964.16/5,842.49
  6. Step 6: Final answer
    x = 4,402.06

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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.