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Finding the Fourth Proportional to 3,332.97, 4,999.41 and 867.78

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Solution

The fourth proportional to 3,332.97, 4,999.41 and 867.78 is: 1,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332.97 : 4,999.41 = 867.78 : x
  2. Step 2: Convert to fraction form
    3,332.97/4,999.41 = 867.78/x
  3. Step 3: Cross multiply
    3,332.97x = 4,999.41 × 867.78
  4. Step 4: Simplify right side
    3,332.97x = 4,338,388.01
  5. Step 5: Solve for x
    x = 4,338,388.01/3,332.97
  6. Step 6: Final answer
    x = 1,301.66

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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.