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Finding the Fourth Proportional to 2,575.74, 3,863.92 and 1,930.58

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Solution

The fourth proportional to 2,575.74, 3,863.92 and 1,930.58 is: 2,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.74 : 3,863.92 = 1,930.58 : x
  2. Step 2: Convert to fraction form
    2,575.74/3,863.92 = 1,930.58/x
  3. Step 3: Cross multiply
    2,575.74x = 3,863.92 × 1,930.58
  4. Step 4: Simplify right side
    2,575.74x = 7,459,606.67
  5. Step 5: Solve for x
    x = 7,459,606.67/2,575.74
  6. Step 6: Final answer
    x = 2,896.10

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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.