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Finding the Fourth Proportional to 3,392.78, 5,089.11 and 1,340.78

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Solution

The fourth proportional to 3,392.78, 5,089.11 and 1,340.78 is: 2,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.78 : 5,089.11 = 1,340.78 : x
  2. Step 2: Convert to fraction form
    3,392.78/5,089.11 = 1,340.78/x
  3. Step 3: Cross multiply
    3,392.78x = 5,089.11 × 1,340.78
  4. Step 4: Simplify right side
    3,392.78x = 6,823,376.91
  5. Step 5: Solve for x
    x = 6,823,376.91/3,392.78
  6. Step 6: Final answer
    x = 2,011.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.