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Finding the Fourth Proportional to 8,312.75, 12,469.17 and 2,156.75

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Solution

The fourth proportional to 8,312.75, 12,469.17 and 2,156.75 is: 3,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.75 : 12,469.17 = 2,156.75 : x
  2. Step 2: Convert to fraction form
    8,312.75/12,469.17 = 2,156.75/x
  3. Step 3: Cross multiply
    8,312.75x = 12,469.17 × 2,156.75
  4. Step 4: Simplify right side
    8,312.75x = 26,892,882.40
  5. Step 5: Solve for x
    x = 26,892,882.40/8,312.75
  6. Step 6: Final answer
    x = 3,235.14

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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.