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Finding the Fourth Proportional to 1,947.86, 2,923.17 and 1,429.20

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Solution

The fourth proportional to 1,947.86, 2,923.17 and 1,429.20 is: 2,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.86 : 2,923.17 = 1,429.20 : x
  2. Step 2: Convert to fraction form
    1,947.86/2,923.17 = 1,429.20/x
  3. Step 3: Cross multiply
    1,947.86x = 2,923.17 × 1,429.20
  4. Step 4: Simplify right side
    1,947.86x = 4,177,794.56
  5. Step 5: Solve for x
    x = 4,177,794.56/1,947.86
  6. Step 6: Final answer
    x = 2,144.82

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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.