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Finding the Fourth Proportional to 8,315.87, 12,475.22 and 2,770.61

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Solution

The fourth proportional to 8,315.87, 12,475.22 and 2,770.61 is: 4,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.87 : 12,475.22 = 2,770.61 : x
  2. Step 2: Convert to fraction form
    8,315.87/12,475.22 = 2,770.61/x
  3. Step 3: Cross multiply
    8,315.87x = 12,475.22 × 2,770.61
  4. Step 4: Simplify right side
    8,315.87x = 34,563,893.06
  5. Step 5: Solve for x
    x = 34,563,893.06/8,315.87
  6. Step 6: Final answer
    x = 4,156.38

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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.