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Finding the Fourth Proportional to 3,781.19, 5,671.78 and 1,045.19

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Solution

The fourth proportional to 3,781.19, 5,671.78 and 1,045.19 is: 1,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.19 : 5,671.78 = 1,045.19 : x
  2. Step 2: Convert to fraction form
    3,781.19/5,671.78 = 1,045.19/x
  3. Step 3: Cross multiply
    3,781.19x = 5,671.78 × 1,045.19
  4. Step 4: Simplify right side
    3,781.19x = 5,928,076.17
  5. Step 5: Solve for x
    x = 5,928,076.17/3,781.19
  6. Step 6: Final answer
    x = 1,567.78

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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.