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Finding the Fourth Proportional to 19,751.78, 27,257.10 and 10,799.21

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Solution

The fourth proportional to 19,751.78, 27,257.10 and 10,799.21 is: 14,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,751.78 : 27,257.10 = 10,799.21 : x
  2. Step 2: Convert to fraction form
    19,751.78/27,257.10 = 10,799.21/x
  3. Step 3: Cross multiply
    19,751.78x = 27,257.10 × 10,799.21
  4. Step 4: Simplify right side
    19,751.78x = 294,355,010.61
  5. Step 5: Solve for x
    x = 294,355,010.61/19,751.78
  6. Step 6: Final answer
    x = 14,902.71

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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.