Home / 2,824.75-3,898.06-1,565.78

Finding the Fourth Proportional to 2,824.75, 3,898.06 and 1,565.78

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Solution

The fourth proportional to 2,824.75, 3,898.06 and 1,565.78 is: 2,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.75 : 3,898.06 = 1,565.78 : x
  2. Step 2: Convert to fraction form
    2,824.75/3,898.06 = 1,565.78/x
  3. Step 3: Cross multiply
    2,824.75x = 3,898.06 × 1,565.78
  4. Step 4: Simplify right side
    2,824.75x = 6,103,504.39
  5. Step 5: Solve for x
    x = 6,103,504.39/2,824.75
  6. Step 6: Final answer
    x = 2,160.72

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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.