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Finding the Fourth Proportional to 2,188.61, 3,282.92 and 649.61

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Solution

The fourth proportional to 2,188.61, 3,282.92 and 649.61 is: 974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.61 : 3,282.92 = 649.61 : x
  2. Step 2: Convert to fraction form
    2,188.61/3,282.92 = 649.61/x
  3. Step 3: Cross multiply
    2,188.61x = 3,282.92 × 649.61
  4. Step 4: Simplify right side
    2,188.61x = 2,132,606.21
  5. Step 5: Solve for x
    x = 2,132,606.21/2,188.61
  6. Step 6: Final answer
    x = 974.41

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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.