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Finding the Fourth Proportional to 17,189.78, 25,767.03 and 9,778.46

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Solution

The fourth proportional to 17,189.78, 25,767.03 and 9,778.46 is: 14,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.78 : 25,767.03 = 9,778.46 : x
  2. Step 2: Convert to fraction form
    17,189.78/25,767.03 = 9,778.46/x
  3. Step 3: Cross multiply
    17,189.78x = 25,767.03 × 9,778.46
  4. Step 4: Simplify right side
    17,189.78x = 251,961,872.17
  5. Step 5: Solve for x
    x = 251,961,872.17/17,189.78
  6. Step 6: Final answer
    x = 14,657.66

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1.5x scale

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.