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Finding the Fourth Proportional to 2,240.71, 3,092.25 and 1,232.46

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Solution

The fourth proportional to 2,240.71, 3,092.25 and 1,232.46 is: 1,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.71 : 3,092.25 = 1,232.46 : x
  2. Step 2: Convert to fraction form
    2,240.71/3,092.25 = 1,232.46/x
  3. Step 3: Cross multiply
    2,240.71x = 3,092.25 × 1,232.46
  4. Step 4: Simplify right side
    2,240.71x = 3,811,068.74
  5. Step 5: Solve for x
    x = 3,811,068.74/2,240.71
  6. Step 6: Final answer
    x = 1,700.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.