Home / 2,119.08-3,178.75-732.54

Finding the Fourth Proportional to 2,119.08, 3,178.75 and 732.54

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Solution

The fourth proportional to 2,119.08, 3,178.75 and 732.54 is: 1,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.08 : 3,178.75 = 732.54 : x
  2. Step 2: Convert to fraction form
    2,119.08/3,178.75 = 732.54/x
  3. Step 3: Cross multiply
    2,119.08x = 3,178.75 × 732.54
  4. Step 4: Simplify right side
    2,119.08x = 2,328,561.53
  5. Step 5: Solve for x
    x = 2,328,561.53/2,119.08
  6. Step 6: Final answer
    x = 1,098.85

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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.