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Finding the Fourth Proportional to 3,876.93, 5,815.40 and 1,537.47

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Solution

The fourth proportional to 3,876.93, 5,815.40 and 1,537.47 is: 2,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.93 : 5,815.40 = 1,537.47 : x
  2. Step 2: Convert to fraction form
    3,876.93/5,815.40 = 1,537.47/x
  3. Step 3: Cross multiply
    3,876.93x = 5,815.40 × 1,537.47
  4. Step 4: Simplify right side
    3,876.93x = 8,940,995.35
  5. Step 5: Solve for x
    x = 8,940,995.35/3,876.93
  6. Step 6: Final answer
    x = 2,306.21

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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.