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Finding the Fourth Proportional to 3,332.70, 4,999.05 and 867.31

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Solution

The fourth proportional to 3,332.70, 4,999.05 and 867.31 is: 1,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332.70 : 4,999.05 = 867.31 : x
  2. Step 2: Convert to fraction form
    3,332.70/4,999.05 = 867.31/x
  3. Step 3: Cross multiply
    3,332.70x = 4,999.05 × 867.31
  4. Step 4: Simplify right side
    3,332.70x = 4,335,726.06
  5. Step 5: Solve for x
    x = 4,335,726.06/3,332.70
  6. Step 6: Final answer
    x = 1,300.97

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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.