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Finding the Fourth Proportional to 12,504.14, 17,231.90 and 8,961.20

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Solution

The fourth proportional to 12,504.14, 17,231.90 and 8,961.20 is: 12,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.14 : 17,231.90 = 8,961.20 : x
  2. Step 2: Convert to fraction form
    12,504.14/17,231.90 = 8,961.20/x
  3. Step 3: Cross multiply
    12,504.14x = 17,231.90 × 8,961.20
  4. Step 4: Simplify right side
    12,504.14x = 154,418,502.28
  5. Step 5: Solve for x
    x = 154,418,502.28/12,504.14
  6. Step 6: Final answer
    x = 12,349.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.