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Finding the Fourth Proportional to 2,129.38, 3,194.07 and 590.38

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Solution

The fourth proportional to 2,129.38, 3,194.07 and 590.38 is: 885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.38 : 3,194.07 = 590.38 : x
  2. Step 2: Convert to fraction form
    2,129.38/3,194.07 = 590.38/x
  3. Step 3: Cross multiply
    2,129.38x = 3,194.07 × 590.38
  4. Step 4: Simplify right side
    2,129.38x = 1,885,715.05
  5. Step 5: Solve for x
    x = 1,885,715.05/2,129.38
  6. Step 6: Final answer
    x = 885.57

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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.