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Finding the Fourth Proportional to 2,034, 3,049.12 and 1,060.80

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Solution

The fourth proportional to 2,034, 3,049.12 and 1,060.80 is: 1,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034 : 3,049.12 = 1,060.80 : x
  2. Step 2: Convert to fraction form
    2,034/3,049.12 = 1,060.80/x
  3. Step 3: Cross multiply
    2,034x = 3,049.12 × 1,060.80
  4. Step 4: Simplify right side
    2,034x = 3,234,506.50
  5. Step 5: Solve for x
    x = 3,234,506.50/2,034
  6. Step 6: Final answer
    x = 1,590.22

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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.