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Finding the Fourth Proportional to 3,774.92, 5,661.93 and 1,001.78

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Solution

The fourth proportional to 3,774.92, 5,661.93 and 1,001.78 is: 1,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.92 : 5,661.93 = 1,001.78 : x
  2. Step 2: Convert to fraction form
    3,774.92/5,661.93 = 1,001.78/x
  3. Step 3: Cross multiply
    3,774.92x = 5,661.93 × 1,001.78
  4. Step 4: Simplify right side
    3,774.92x = 5,672,004.91
  5. Step 5: Solve for x
    x = 5,672,004.91/3,774.92
  6. Step 6: Final answer
    x = 1,502.55

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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.