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Finding the Fourth Proportional to 8,554.36, 12,852.09 and 8,082.31

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Solution

The fourth proportional to 8,554.36, 12,852.09 and 8,082.31 is: 12,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.36 : 12,852.09 = 8,082.31 : x
  2. Step 2: Convert to fraction form
    8,554.36/12,852.09 = 8,082.31/x
  3. Step 3: Cross multiply
    8,554.36x = 12,852.09 × 8,082.31
  4. Step 4: Simplify right side
    8,554.36x = 103,874,575.53
  5. Step 5: Solve for x
    x = 103,874,575.53/8,554.36
  6. Step 6: Final answer
    x = 12,142.88

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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.