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Finding the Fourth Proportional to 3,911.68, 5,868.24 and 1,314.88

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Solution

The fourth proportional to 3,911.68, 5,868.24 and 1,314.88 is: 1,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.68 : 5,868.24 = 1,314.88 : x
  2. Step 2: Convert to fraction form
    3,911.68/5,868.24 = 1,314.88/x
  3. Step 3: Cross multiply
    3,911.68x = 5,868.24 × 1,314.88
  4. Step 4: Simplify right side
    3,911.68x = 7,716,031.41
  5. Step 5: Solve for x
    x = 7,716,031.41/3,911.68
  6. Step 6: Final answer
    x = 1,972.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.