Home / 2,677.23-4,013.71-827.19

Finding the Fourth Proportional to 2,677.23, 4,013.71 and 827.19

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Solution

The fourth proportional to 2,677.23, 4,013.71 and 827.19 is: 1,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.23 : 4,013.71 = 827.19 : x
  2. Step 2: Convert to fraction form
    2,677.23/4,013.71 = 827.19/x
  3. Step 3: Cross multiply
    2,677.23x = 4,013.71 × 827.19
  4. Step 4: Simplify right side
    2,677.23x = 3,320,100.77
  5. Step 5: Solve for x
    x = 3,320,100.77/2,677.23
  6. Step 6: Final answer
    x = 1,240.13

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1.5x scale

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.