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Finding the Fourth Proportional to 2,378.43, 3,565.17 and 918.59

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Solution

The fourth proportional to 2,378.43, 3,565.17 and 918.59 is: 1,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.43 : 3,565.17 = 918.59 : x
  2. Step 2: Convert to fraction form
    2,378.43/3,565.17 = 918.59/x
  3. Step 3: Cross multiply
    2,378.43x = 3,565.17 × 918.59
  4. Step 4: Simplify right side
    2,378.43x = 3,274,911.68
  5. Step 5: Solve for x
    x = 3,274,911.68/2,378.43
  6. Step 6: Final answer
    x = 1,376.92

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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.