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Finding the Fourth Proportional to 8,758.31, 13,142.66 and 8,204.18

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Solution

The fourth proportional to 8,758.31, 13,142.66 and 8,204.18 is: 12,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,758.31 : 13,142.66 = 8,204.18 : x
  2. Step 2: Convert to fraction form
    8,758.31/13,142.66 = 8,204.18/x
  3. Step 3: Cross multiply
    8,758.31x = 13,142.66 × 8,204.18
  4. Step 4: Simplify right side
    8,758.31x = 107,824,775.55
  5. Step 5: Solve for x
    x = 107,824,775.55/8,758.31
  6. Step 6: Final answer
    x = 12,311.13

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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.