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Finding the Fourth Proportional to 3,711.78, 5,122.50 and 2,139.84

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Solution

The fourth proportional to 3,711.78, 5,122.50 and 2,139.84 is: 2,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.78 : 5,122.50 = 2,139.84 : x
  2. Step 2: Convert to fraction form
    3,711.78/5,122.50 = 2,139.84/x
  3. Step 3: Cross multiply
    3,711.78x = 5,122.50 × 2,139.84
  4. Step 4: Simplify right side
    3,711.78x = 10,961,330.40
  5. Step 5: Solve for x
    x = 10,961,330.40/3,711.78
  6. Step 6: Final answer
    x = 2,953.12

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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.