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Finding the Fourth Proportional to 3,854.61, 5,780.39 and 1,388.57

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Solution

The fourth proportional to 3,854.61, 5,780.39 and 1,388.57 is: 2,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.61 : 5,780.39 = 1,388.57 : x
  2. Step 2: Convert to fraction form
    3,854.61/5,780.39 = 1,388.57/x
  3. Step 3: Cross multiply
    3,854.61x = 5,780.39 × 1,388.57
  4. Step 4: Simplify right side
    3,854.61x = 8,026,476.14
  5. Step 5: Solve for x
    x = 8,026,476.14/3,854.61
  6. Step 6: Final answer
    x = 2,082.31

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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.