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Finding the Fourth Proportional to 2,712.70, 3,743.52 and 1,470.70

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Solution

The fourth proportional to 2,712.70, 3,743.52 and 1,470.70 is: 2,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.70 : 3,743.52 = 1,470.70 : x
  2. Step 2: Convert to fraction form
    2,712.70/3,743.52 = 1,470.70/x
  3. Step 3: Cross multiply
    2,712.70x = 3,743.52 × 1,470.70
  4. Step 4: Simplify right side
    2,712.70x = 5,505,594.86
  5. Step 5: Solve for x
    x = 5,505,594.86/2,712.70
  6. Step 6: Final answer
    x = 2,029.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.