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Finding the Fourth Proportional to 2,079.68, 2,868.08 and 1,371.02

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Solution

The fourth proportional to 2,079.68, 2,868.08 and 1,371.02 is: 1,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.68 : 2,868.08 = 1,371.02 : x
  2. Step 2: Convert to fraction form
    2,079.68/2,868.08 = 1,371.02/x
  3. Step 3: Cross multiply
    2,079.68x = 2,868.08 × 1,371.02
  4. Step 4: Simplify right side
    2,079.68x = 3,932,173.85
  5. Step 5: Solve for x
    x = 3,932,173.85/2,079.68
  6. Step 6: Final answer
    x = 1,890.76

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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.