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Finding the Fourth Proportional to 2,092.38, 3,138.59 and 553.38

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Solution

The fourth proportional to 2,092.38, 3,138.59 and 553.38 is: 830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.38 : 3,138.59 = 553.38 : x
  2. Step 2: Convert to fraction form
    2,092.38/3,138.59 = 553.38/x
  3. Step 3: Cross multiply
    2,092.38x = 3,138.59 × 553.38
  4. Step 4: Simplify right side
    2,092.38x = 1,736,832.93
  5. Step 5: Solve for x
    x = 1,736,832.93/2,092.38
  6. Step 6: Final answer
    x = 830.08

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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.