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Finding the Fourth Proportional to 3,470.56, 5,202.56 and 1,278.72

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Solution

The fourth proportional to 3,470.56, 5,202.56 and 1,278.72 is: 1,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.56 : 5,202.56 = 1,278.72 : x
  2. Step 2: Convert to fraction form
    3,470.56/5,202.56 = 1,278.72/x
  3. Step 3: Cross multiply
    3,470.56x = 5,202.56 × 1,278.72
  4. Step 4: Simplify right side
    3,470.56x = 6,652,617.52
  5. Step 5: Solve for x
    x = 6,652,617.52/3,470.56
  6. Step 6: Final answer
    x = 1,916.87

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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.