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Finding the Fourth Proportional to 3,713, 5,123.86 and 2,221.25

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Solution

The fourth proportional to 3,713, 5,123.86 and 2,221.25 is: 3,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713 : 5,123.86 = 2,221.25 : x
  2. Step 2: Convert to fraction form
    3,713/5,123.86 = 2,221.25/x
  3. Step 3: Cross multiply
    3,713x = 5,123.86 × 2,221.25
  4. Step 4: Simplify right side
    3,713x = 11,381,374.03
  5. Step 5: Solve for x
    x = 11,381,374.03/3,713
  6. Step 6: Final answer
    x = 3,065.28

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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.