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Finding the Fourth Proportional to 8,278.74, 12,411.12 and 3,595.22

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Solution

The fourth proportional to 8,278.74, 12,411.12 and 3,595.22 is: 5,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.74 : 12,411.12 = 3,595.22 : x
  2. Step 2: Convert to fraction form
    8,278.74/12,411.12 = 3,595.22/x
  3. Step 3: Cross multiply
    8,278.74x = 12,411.12 × 3,595.22
  4. Step 4: Simplify right side
    8,278.74x = 44,620,706.85
  5. Step 5: Solve for x
    x = 44,620,706.85/8,278.74
  6. Step 6: Final answer
    x = 5,389.79

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1.5x scale

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.