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Finding the Fourth Proportional to 8,315.46, 12,472.11 and 2,767.86

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Solution

The fourth proportional to 8,315.46, 12,472.11 and 2,767.86 is: 4,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.46 : 12,472.11 = 2,767.86 : x
  2. Step 2: Convert to fraction form
    8,315.46/12,472.11 = 2,767.86/x
  3. Step 3: Cross multiply
    8,315.46x = 12,472.11 × 2,767.86
  4. Step 4: Simplify right side
    8,315.46x = 34,521,054.38
  5. Step 5: Solve for x
    x = 34,521,054.38/8,315.46
  6. Step 6: Final answer
    x = 4,151.43

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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.