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Finding the Fourth Proportional to 2,758.64, 4,134.10 and 2,139.44

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Solution

The fourth proportional to 2,758.64, 4,134.10 and 2,139.44 is: 3,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.64 : 4,134.10 = 2,139.44 : x
  2. Step 2: Convert to fraction form
    2,758.64/4,134.10 = 2,139.44/x
  3. Step 3: Cross multiply
    2,758.64x = 4,134.10 × 2,139.44
  4. Step 4: Simplify right side
    2,758.64x = 8,844,658.90
  5. Step 5: Solve for x
    x = 8,844,658.90/2,758.64
  6. Step 6: Final answer
    x = 3,206.17

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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.