Home / 2,854.24-3,938.88-1,578.14

Finding the Fourth Proportional to 2,854.24, 3,938.88 and 1,578.14

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Solution

The fourth proportional to 2,854.24, 3,938.88 and 1,578.14 is: 2,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.24 : 3,938.88 = 1,578.14 : x
  2. Step 2: Convert to fraction form
    2,854.24/3,938.88 = 1,578.14/x
  3. Step 3: Cross multiply
    2,854.24x = 3,938.88 × 1,578.14
  4. Step 4: Simplify right side
    2,854.24x = 6,216,104.08
  5. Step 5: Solve for x
    x = 6,216,104.08/2,854.24
  6. Step 6: Final answer
    x = 2,177.85

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1.5x scale

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.