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Finding the Fourth Proportional to 3,151.78, 4,728.70 and 1,508.12

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Solution

The fourth proportional to 3,151.78, 4,728.70 and 1,508.12 is: 2,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.78 : 4,728.70 = 1,508.12 : x
  2. Step 2: Convert to fraction form
    3,151.78/4,728.70 = 1,508.12/x
  3. Step 3: Cross multiply
    3,151.78x = 4,728.70 × 1,508.12
  4. Step 4: Simplify right side
    3,151.78x = 7,131,447.04
  5. Step 5: Solve for x
    x = 7,131,447.04/3,151.78
  6. Step 6: Final answer
    x = 2,262.67

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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.