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Finding the Fourth Proportional to 5,842.79, 8,057.57 and 3,849.87

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Solution

The fourth proportional to 5,842.79, 8,057.57 and 3,849.87 is: 5,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.79 : 8,057.57 = 3,849.87 : x
  2. Step 2: Convert to fraction form
    5,842.79/8,057.57 = 3,849.87/x
  3. Step 3: Cross multiply
    5,842.79x = 8,057.57 × 3,849.87
  4. Step 4: Simplify right side
    5,842.79x = 31,020,577.77
  5. Step 5: Solve for x
    x = 31,020,577.77/5,842.79
  6. Step 6: Final answer
    x = 5,309.21

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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.