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Finding the Fourth Proportional to 17,810.80, 26,713.84 and 7,947.79

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Solution

The fourth proportional to 17,810.80, 26,713.84 and 7,947.79 is: 11,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.80 : 26,713.84 = 7,947.79 : x
  2. Step 2: Convert to fraction form
    17,810.80/26,713.84 = 7,947.79/x
  3. Step 3: Cross multiply
    17,810.80x = 26,713.84 × 7,947.79
  4. Step 4: Simplify right side
    17,810.80x = 212,315,990.41
  5. Step 5: Solve for x
    x = 212,315,990.41/17,810.80
  6. Step 6: Final answer
    x = 11,920.63

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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.