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Finding the Fourth Proportional to 3,124, 4,314.78 and 2,074.24

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Solution

The fourth proportional to 3,124, 4,314.78 and 2,074.24 is: 2,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124 : 4,314.78 = 2,074.24 : x
  2. Step 2: Convert to fraction form
    3,124/4,314.78 = 2,074.24/x
  3. Step 3: Cross multiply
    3,124x = 4,314.78 × 2,074.24
  4. Step 4: Simplify right side
    3,124x = 8,949,889.27
  5. Step 5: Solve for x
    x = 8,949,889.27/3,124
  6. Step 6: Final answer
    x = 2,864.88

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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.