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Finding the Fourth Proportional to 2,092.22, 3,138.30 and 510.95

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Solution

The fourth proportional to 2,092.22, 3,138.30 and 510.95 is: 766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.22 : 3,138.30 = 510.95 : x
  2. Step 2: Convert to fraction form
    2,092.22/3,138.30 = 510.95/x
  3. Step 3: Cross multiply
    2,092.22x = 3,138.30 × 510.95
  4. Step 4: Simplify right side
    2,092.22x = 1,603,510.46
  5. Step 5: Solve for x
    x = 1,603,510.46/2,092.22
  6. Step 6: Final answer
    x = 766.42

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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.