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Finding the Fourth Proportional to 2,387, 3,294.06 and 1,378.91

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Solution

The fourth proportional to 2,387, 3,294.06 and 1,378.91 is: 1,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387 : 3,294.06 = 1,378.91 : x
  2. Step 2: Convert to fraction form
    2,387/3,294.06 = 1,378.91/x
  3. Step 3: Cross multiply
    2,387x = 3,294.06 × 1,378.91
  4. Step 4: Simplify right side
    2,387x = 4,542,212.27
  5. Step 5: Solve for x
    x = 4,542,212.27/2,387
  6. Step 6: Final answer
    x = 1,902.90

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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.