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Finding the Fourth Proportional to 2,512.04, 3,768.22 and 663.20

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Solution

The fourth proportional to 2,512.04, 3,768.22 and 663.20 is: 994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.04 : 3,768.22 = 663.20 : x
  2. Step 2: Convert to fraction form
    2,512.04/3,768.22 = 663.20/x
  3. Step 3: Cross multiply
    2,512.04x = 3,768.22 × 663.20
  4. Step 4: Simplify right side
    2,512.04x = 2,499,083.50
  5. Step 5: Solve for x
    x = 2,499,083.50/2,512.04
  6. Step 6: Final answer
    x = 994.84

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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.