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Finding the Fourth Proportional to 3,903.71, 5,387.12 and 2,135.31

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Solution

The fourth proportional to 3,903.71, 5,387.12 and 2,135.31 is: 2,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.71 : 5,387.12 = 2,135.31 : x
  2. Step 2: Convert to fraction form
    3,903.71/5,387.12 = 2,135.31/x
  3. Step 3: Cross multiply
    3,903.71x = 5,387.12 × 2,135.31
  4. Step 4: Simplify right side
    3,903.71x = 11,503,160.53
  5. Step 5: Solve for x
    x = 11,503,160.53/3,903.71
  6. Step 6: Final answer
    x = 2,946.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.