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Finding the Fourth Proportional to 2,119.01, 3,179.06 and 658.18

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Solution

The fourth proportional to 2,119.01, 3,179.06 and 658.18 is: 987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.01 : 3,179.06 = 658.18 : x
  2. Step 2: Convert to fraction form
    2,119.01/3,179.06 = 658.18/x
  3. Step 3: Cross multiply
    2,119.01x = 3,179.06 × 658.18
  4. Step 4: Simplify right side
    2,119.01x = 2,092,374.52
  5. Step 5: Solve for x
    x = 2,092,374.52/2,119.01
  6. Step 6: Final answer
    x = 987.43

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1.5x scale

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.