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Finding the Fourth Proportional to 2,866.66, 4,301.44 and 1,306.49

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Solution

The fourth proportional to 2,866.66, 4,301.44 and 1,306.49 is: 1,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.66 : 4,301.44 = 1,306.49 : x
  2. Step 2: Convert to fraction form
    2,866.66/4,301.44 = 1,306.49/x
  3. Step 3: Cross multiply
    2,866.66x = 4,301.44 × 1,306.49
  4. Step 4: Simplify right side
    2,866.66x = 5,619,763.57
  5. Step 5: Solve for x
    x = 5,619,763.57/2,866.66
  6. Step 6: Final answer
    x = 1,960.39

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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.