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Finding the Fourth Proportional to 8,972.56, 13,431.03 and 8,207.08

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Solution

The fourth proportional to 8,972.56, 13,431.03 and 8,207.08 is: 12,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.56 : 13,431.03 = 8,207.08 : x
  2. Step 2: Convert to fraction form
    8,972.56/13,431.03 = 8,207.08/x
  3. Step 3: Cross multiply
    8,972.56x = 13,431.03 × 8,207.08
  4. Step 4: Simplify right side
    8,972.56x = 110,229,537.69
  5. Step 5: Solve for x
    x = 110,229,537.69/8,972.56
  6. Step 6: Final answer
    x = 12,285.18

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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.