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Finding the Fourth Proportional to 11,471.25, 15,836.09 and 10,780.05

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Solution

The fourth proportional to 11,471.25, 15,836.09 and 10,780.05 is: 14,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.25 : 15,836.09 = 10,780.05 : x
  2. Step 2: Convert to fraction form
    11,471.25/15,836.09 = 10,780.05/x
  3. Step 3: Cross multiply
    11,471.25x = 15,836.09 × 10,780.05
  4. Step 4: Simplify right side
    11,471.25x = 170,713,788.10
  5. Step 5: Solve for x
    x = 170,713,788.10/11,471.25
  6. Step 6: Final answer
    x = 14,881.88

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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.