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Finding the Fourth Proportional to 12,380.88, 17,090.16 and 8,394

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Solution

The fourth proportional to 12,380.88, 17,090.16 and 8,394 is: 11,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.88 : 17,090.16 = 8,394 : x
  2. Step 2: Convert to fraction form
    12,380.88/17,090.16 = 8,394/x
  3. Step 3: Cross multiply
    12,380.88x = 17,090.16 × 8,394
  4. Step 4: Simplify right side
    12,380.88x = 143,454,803.04
  5. Step 5: Solve for x
    x = 143,454,803.04/12,380.88
  6. Step 6: Final answer
    x = 11,586.80

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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.