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Finding the Fourth Proportional to 2,232.70, 3,081.00 and 1,237.95

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Solution

The fourth proportional to 2,232.70, 3,081.00 and 1,237.95 is: 1,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.70 : 3,081.00 = 1,237.95 : x
  2. Step 2: Convert to fraction form
    2,232.70/3,081.00 = 1,237.95/x
  3. Step 3: Cross multiply
    2,232.70x = 3,081.00 × 1,237.95
  4. Step 4: Simplify right side
    2,232.70x = 3,814,128.59
  5. Step 5: Solve for x
    x = 3,814,128.59/2,232.70
  6. Step 6: Final answer
    x = 1,708.31

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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.