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Finding the Fourth Proportional to 5,842.59, 8,062.97 and 3,190.20

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Solution

The fourth proportional to 5,842.59, 8,062.97 and 3,190.20 is: 4,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.59 : 8,062.97 = 3,190.20 : x
  2. Step 2: Convert to fraction form
    5,842.59/8,062.97 = 3,190.20/x
  3. Step 3: Cross multiply
    5,842.59x = 8,062.97 × 3,190.20
  4. Step 4: Simplify right side
    5,842.59x = 25,722,470.94
  5. Step 5: Solve for x
    x = 25,722,470.94/5,842.59
  6. Step 6: Final answer
    x = 4,402.58

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1.5x scale

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.