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Finding the Fourth Proportional to 12,794.22, 17,654.07 and 7,688.61

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Solution

The fourth proportional to 12,794.22, 17,654.07 and 7,688.61 is: 10,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.22 : 17,654.07 = 7,688.61 : x
  2. Step 2: Convert to fraction form
    12,794.22/17,654.07 = 7,688.61/x
  3. Step 3: Cross multiply
    12,794.22x = 17,654.07 × 7,688.61
  4. Step 4: Simplify right side
    12,794.22x = 135,735,259.14
  5. Step 5: Solve for x
    x = 135,735,259.14/12,794.22
  6. Step 6: Final answer
    x = 10,609.11

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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.