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Finding the Fourth Proportional to 12,691.65, 17,512.14 and 7,388.19

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Solution

The fourth proportional to 12,691.65, 17,512.14 and 7,388.19 is: 10,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.65 : 17,512.14 = 7,388.19 : x
  2. Step 2: Convert to fraction form
    12,691.65/17,512.14 = 7,388.19/x
  3. Step 3: Cross multiply
    12,691.65x = 17,512.14 × 7,388.19
  4. Step 4: Simplify right side
    12,691.65x = 129,383,017.63
  5. Step 5: Solve for x
    x = 129,383,017.63/12,691.65
  6. Step 6: Final answer
    x = 10,194.34

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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.