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Finding the Fourth Proportional to 2,034, 3,049.46 and 800.76

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Solution

The fourth proportional to 2,034, 3,049.46 and 800.76 is: 1,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034 : 3,049.46 = 800.76 : x
  2. Step 2: Convert to fraction form
    2,034/3,049.46 = 800.76/x
  3. Step 3: Cross multiply
    2,034x = 3,049.46 × 800.76
  4. Step 4: Simplify right side
    2,034x = 2,441,885.59
  5. Step 5: Solve for x
    x = 2,441,885.59/2,034
  6. Step 6: Final answer
    x = 1,200.53

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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.