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Finding the Fourth Proportional to 2,187.41, 3,281.62 and 726.56

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Solution

The fourth proportional to 2,187.41, 3,281.62 and 726.56 is: 1,090.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.41 : 3,281.62 = 726.56 : x
  2. Step 2: Convert to fraction form
    2,187.41/3,281.62 = 726.56/x
  3. Step 3: Cross multiply
    2,187.41x = 3,281.62 × 726.56
  4. Step 4: Simplify right side
    2,187.41x = 2,384,275.60
  5. Step 5: Solve for x
    x = 2,384,275.60/2,187.41
  6. Step 6: Final answer
    x = 1,090.00

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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.