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Finding the Fourth Proportional to 2,187.56, 3,281.34 and 648.44

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Solution

The fourth proportional to 2,187.56, 3,281.34 and 648.44 is: 972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.56 : 3,281.34 = 648.44 : x
  2. Step 2: Convert to fraction form
    2,187.56/3,281.34 = 648.44/x
  3. Step 3: Cross multiply
    2,187.56x = 3,281.34 × 648.44
  4. Step 4: Simplify right side
    2,187.56x = 2,127,752.11
  5. Step 5: Solve for x
    x = 2,127,752.11/2,187.56
  6. Step 6: Final answer
    x = 972.66

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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.