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Finding the Fourth Proportional to 5,842.70, 8,062.80 and 3,190.11

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Solution

The fourth proportional to 5,842.70, 8,062.80 and 3,190.11 is: 4,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.70 : 8,062.80 = 3,190.11 : x
  2. Step 2: Convert to fraction form
    5,842.70/8,062.80 = 3,190.11/x
  3. Step 3: Cross multiply
    5,842.70x = 8,062.80 × 3,190.11
  4. Step 4: Simplify right side
    5,842.70x = 25,721,218.91
  5. Step 5: Solve for x
    x = 25,721,218.91/5,842.70
  6. Step 6: Final answer
    x = 4,402.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.