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Finding the Fourth Proportional to 2,188.52, 3,283.32 and 649.52

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Solution

The fourth proportional to 2,188.52, 3,283.32 and 649.52 is: 974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.52 : 3,283.32 = 649.52 : x
  2. Step 2: Convert to fraction form
    2,188.52/3,283.32 = 649.52/x
  3. Step 3: Cross multiply
    2,188.52x = 3,283.32 × 649.52
  4. Step 4: Simplify right side
    2,188.52x = 2,132,582.01
  5. Step 5: Solve for x
    x = 2,132,582.01/2,188.52
  6. Step 6: Final answer
    x = 974.44

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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.