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Finding the Fourth Proportional to 2,187.40, 3,281.08 and 648.40

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Solution

The fourth proportional to 2,187.40, 3,281.08 and 648.40 is: 972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.40 : 3,281.08 = 648.40 : x
  2. Step 2: Convert to fraction form
    2,187.40/3,281.08 = 648.40/x
  3. Step 3: Cross multiply
    2,187.40x = 3,281.08 × 648.40
  4. Step 4: Simplify right side
    2,187.40x = 2,127,452.27
  5. Step 5: Solve for x
    x = 2,127,452.27/2,187.40
  6. Step 6: Final answer
    x = 972.59

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1.5x scale

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.