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Finding the Fourth Proportional to 3,712.32, 5,123.00 and 2,140.41

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Solution

The fourth proportional to 3,712.32, 5,123.00 and 2,140.41 is: 2,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.32 : 5,123.00 = 2,140.41 : x
  2. Step 2: Convert to fraction form
    3,712.32/5,123.00 = 2,140.41/x
  3. Step 3: Cross multiply
    3,712.32x = 5,123.00 × 2,140.41
  4. Step 4: Simplify right side
    3,712.32x = 10,965,309.73
  5. Step 5: Solve for x
    x = 10,965,309.73/3,712.32
  6. Step 6: Final answer
    x = 2,953.76

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