Home / 2,257.68-3,386.40-1,102.56

Finding the Fourth Proportional to 2,257.68, 3,386.40 and 1,102.56

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Solution

The fourth proportional to 2,257.68, 3,386.40 and 1,102.56 is: 1,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.68 : 3,386.40 = 1,102.56 : x
  2. Step 2: Convert to fraction form
    2,257.68/3,386.40 = 1,102.56/x
  3. Step 3: Cross multiply
    2,257.68x = 3,386.40 × 1,102.56
  4. Step 4: Simplify right side
    2,257.68x = 3,733,709.18
  5. Step 5: Solve for x
    x = 3,733,709.18/2,257.68
  6. Step 6: Final answer
    x = 1,653.78

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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.