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Finding the Fourth Proportional to 2,377.32, 3,565.53 and 1,917.78

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Solution

The fourth proportional to 2,377.32, 3,565.53 and 1,917.78 is: 2,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.32 : 3,565.53 = 1,917.78 : x
  2. Step 2: Convert to fraction form
    2,377.32/3,565.53 = 1,917.78/x
  3. Step 3: Cross multiply
    2,377.32x = 3,565.53 × 1,917.78
  4. Step 4: Simplify right side
    2,377.32x = 6,837,902.12
  5. Step 5: Solve for x
    x = 6,837,902.12/2,377.32
  6. Step 6: Final answer
    x = 2,876.31

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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.