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Finding the Fourth Proportional to 2,002.66, 2,764.14 and 1,339.78

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Solution

The fourth proportional to 2,002.66, 2,764.14 and 1,339.78 is: 1,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.66 : 2,764.14 = 1,339.78 : x
  2. Step 2: Convert to fraction form
    2,002.66/2,764.14 = 1,339.78/x
  3. Step 3: Cross multiply
    2,002.66x = 2,764.14 × 1,339.78
  4. Step 4: Simplify right side
    2,002.66x = 3,703,339.49
  5. Step 5: Solve for x
    x = 3,703,339.49/2,002.66
  6. Step 6: Final answer
    x = 1,849.21

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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.