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Finding the Fourth Proportional to 11,694, 16,150.80 and 9,073.20

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Solution

The fourth proportional to 11,694, 16,150.80 and 9,073.20 is: 12,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694 : 16,150.80 = 9,073.20 : x
  2. Step 2: Convert to fraction form
    11,694/16,150.80 = 9,073.20/x
  3. Step 3: Cross multiply
    11,694x = 16,150.80 × 9,073.20
  4. Step 4: Simplify right side
    11,694x = 146,539,438.56
  5. Step 5: Solve for x
    x = 146,539,438.56/11,694
  6. Step 6: Final answer
    x = 12,531.16

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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.