Home / 2,119.08-3,178.80-658.56

Finding the Fourth Proportional to 2,119.08, 3,178.80 and 658.56

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Solution

The fourth proportional to 2,119.08, 3,178.80 and 658.56 is: 987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.08 : 3,178.80 = 658.56 : x
  2. Step 2: Convert to fraction form
    2,119.08/3,178.80 = 658.56/x
  3. Step 3: Cross multiply
    2,119.08x = 3,178.80 × 658.56
  4. Step 4: Simplify right side
    2,119.08x = 2,093,430.53
  5. Step 5: Solve for x
    x = 2,093,430.53/2,119.08
  6. Step 6: Final answer
    x = 987.90

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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.