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Finding the Fourth Proportional to 3,124, 4,310.67 and 2,653.78

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Solution

The fourth proportional to 3,124, 4,310.67 and 2,653.78 is: 3,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124 : 4,310.67 = 2,653.78 : x
  2. Step 2: Convert to fraction form
    3,124/4,310.67 = 2,653.78/x
  3. Step 3: Cross multiply
    3,124x = 4,310.67 × 2,653.78
  4. Step 4: Simplify right side
    3,124x = 11,439,569.83
  5. Step 5: Solve for x
    x = 11,439,569.83/3,124
  6. Step 6: Final answer
    x = 3,661.83

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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.