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Finding the Fourth Proportional to 2,092.13, 3,138.40 and 553.13

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Solution

The fourth proportional to 2,092.13, 3,138.40 and 553.13 is: 829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.13 : 3,138.40 = 553.13 : x
  2. Step 2: Convert to fraction form
    2,092.13/3,138.40 = 553.13/x
  3. Step 3: Cross multiply
    2,092.13x = 3,138.40 × 553.13
  4. Step 4: Simplify right side
    2,092.13x = 1,735,943.19
  5. Step 5: Solve for x
    x = 1,735,943.19/2,092.13
  6. Step 6: Final answer
    x = 829.75

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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.