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Finding the Fourth Proportional to 3,877.31, 5,815.95 and 2,709.59

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Solution

The fourth proportional to 3,877.31, 5,815.95 and 2,709.59 is: 4,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.31 : 5,815.95 = 2,709.59 : x
  2. Step 2: Convert to fraction form
    3,877.31/5,815.95 = 2,709.59/x
  3. Step 3: Cross multiply
    3,877.31x = 5,815.95 × 2,709.59
  4. Step 4: Simplify right side
    3,877.31x = 15,758,823.35
  5. Step 5: Solve for x
    x = 15,758,823.35/3,877.31
  6. Step 6: Final answer
    x = 4,064.37

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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.