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Finding the Fourth Proportional to 3,913.01, 5,400.10 and 2,144.67

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Solution

The fourth proportional to 3,913.01, 5,400.10 and 2,144.67 is: 2,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.01 : 5,400.10 = 2,144.67 : x
  2. Step 2: Convert to fraction form
    3,913.01/5,400.10 = 2,144.67/x
  3. Step 3: Cross multiply
    3,913.01x = 5,400.10 × 2,144.67
  4. Step 4: Simplify right side
    3,913.01x = 11,581,432.47
  5. Step 5: Solve for x
    x = 11,581,432.47/3,913.01
  6. Step 6: Final answer
    x = 2,959.73

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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.