Home / 3,102.11-4,648.75-1,540.58

Finding the Fourth Proportional to 3,102.11, 4,648.75 and 1,540.58

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Solution

The fourth proportional to 3,102.11, 4,648.75 and 1,540.58 is: 2,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.11 : 4,648.75 = 1,540.58 : x
  2. Step 2: Convert to fraction form
    3,102.11/4,648.75 = 1,540.58/x
  3. Step 3: Cross multiply
    3,102.11x = 4,648.75 × 1,540.58
  4. Step 4: Simplify right side
    3,102.11x = 7,161,779.05
  5. Step 5: Solve for x
    x = 7,161,779.05/3,102.11
  6. Step 6: Final answer
    x = 2,308.68

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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.