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Finding the Fourth Proportional to 8,312.75, 12,469.13 and 3,114.98

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Solution

The fourth proportional to 8,312.75, 12,469.13 and 3,114.98 is: 4,672.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.75 : 12,469.13 = 3,114.98 : x
  2. Step 2: Convert to fraction form
    8,312.75/12,469.13 = 3,114.98/x
  3. Step 3: Cross multiply
    8,312.75x = 12,469.13 × 3,114.98
  4. Step 4: Simplify right side
    8,312.75x = 38,841,074.99
  5. Step 5: Solve for x
    x = 38,841,074.99/8,312.75
  6. Step 6: Final answer
    x = 4,672.47

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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.