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Finding the Fourth Proportional to 2,092.17, 3,138.30 and 553.17

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Solution

The fourth proportional to 2,092.17, 3,138.30 and 553.17 is: 829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.17 : 3,138.30 = 553.17 : x
  2. Step 2: Convert to fraction form
    2,092.17/3,138.30 = 553.17/x
  3. Step 3: Cross multiply
    2,092.17x = 3,138.30 × 553.17
  4. Step 4: Simplify right side
    2,092.17x = 1,736,013.41
  5. Step 5: Solve for x
    x = 1,736,013.41/2,092.17
  6. Step 6: Final answer
    x = 829.77

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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.