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Finding the Fourth Proportional to 5,426.86, 7,489.08 and 2,942.86

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Solution

The fourth proportional to 5,426.86, 7,489.08 and 2,942.86 is: 4,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.86 : 7,489.08 = 2,942.86 : x
  2. Step 2: Convert to fraction form
    5,426.86/7,489.08 = 2,942.86/x
  3. Step 3: Cross multiply
    5,426.86x = 7,489.08 × 2,942.86
  4. Step 4: Simplify right side
    5,426.86x = 22,039,313.97
  5. Step 5: Solve for x
    x = 22,039,313.97/5,426.86
  6. Step 6: Final answer
    x = 4,061.15

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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.