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Finding the Fourth Proportional to 5,815, 8,024.82 and 3,331

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Solution

The fourth proportional to 5,815, 8,024.82 and 3,331 is: 4,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815 : 8,024.82 = 3,331 : x
  2. Step 2: Convert to fraction form
    5,815/8,024.82 = 3,331/x
  3. Step 3: Cross multiply
    5,815x = 8,024.82 × 3,331
  4. Step 4: Simplify right side
    5,815x = 26,730,675.42
  5. Step 5: Solve for x
    x = 26,730,675.42/5,815
  6. Step 6: Final answer
    x = 4,596.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.