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Finding the Fourth Proportional to 17,778.80, 26,673.14 and 7,781.78

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Solution

The fourth proportional to 17,778.80, 26,673.14 and 7,781.78 is: 11,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.80 : 26,673.14 = 7,781.78 : x
  2. Step 2: Convert to fraction form
    17,778.80/26,673.14 = 7,781.78/x
  3. Step 3: Cross multiply
    17,778.80x = 26,673.14 × 7,781.78
  4. Step 4: Simplify right side
    17,778.80x = 207,564,507.39
  5. Step 5: Solve for x
    x = 207,564,507.39/17,778.80
  6. Step 6: Final answer
    x = 11,674.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.