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Finding the Fourth Proportional to 3,711.88, 5,123.01 and 2,826.01

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Solution

The fourth proportional to 3,711.88, 5,123.01 and 2,826.01 is: 3,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.88 : 5,123.01 = 2,826.01 : x
  2. Step 2: Convert to fraction form
    3,711.88/5,123.01 = 2,826.01/x
  3. Step 3: Cross multiply
    3,711.88x = 5,123.01 × 2,826.01
  4. Step 4: Simplify right side
    3,711.88x = 14,477,677.49
  5. Step 5: Solve for x
    x = 14,477,677.49/3,711.88
  6. Step 6: Final answer
    x = 3,900.36

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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.