Home / 2,824.81-3,898.19-1,565.82

Finding the Fourth Proportional to 2,824.81, 3,898.19 and 1,565.82

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Solution

The fourth proportional to 2,824.81, 3,898.19 and 1,565.82 is: 2,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.81 : 3,898.19 = 1,565.82 : x
  2. Step 2: Convert to fraction form
    2,824.81/3,898.19 = 1,565.82/x
  3. Step 3: Cross multiply
    2,824.81x = 3,898.19 × 1,565.82
  4. Step 4: Simplify right side
    2,824.81x = 6,103,863.87
  5. Step 5: Solve for x
    x = 6,103,863.87/2,824.81
  6. Step 6: Final answer
    x = 2,160.81

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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.