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Finding the Fourth Proportional to 21,780.78, 30,057.42 and 11,844.78

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Solution

The fourth proportional to 21,780.78, 30,057.42 and 11,844.78 is: 16,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.78 : 30,057.42 = 11,844.78 : x
  2. Step 2: Convert to fraction form
    21,780.78/30,057.42 = 11,844.78/x
  3. Step 3: Cross multiply
    21,780.78x = 30,057.42 × 11,844.78
  4. Step 4: Simplify right side
    21,780.78x = 356,023,527.27
  5. Step 5: Solve for x
    x = 356,023,527.27/21,780.78
  6. Step 6: Final answer
    x = 16,345.77

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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.