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Finding the Fourth Proportional to 26,841, 40,282.26 and 18,578.76

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Solution

The fourth proportional to 26,841, 40,282.26 and 18,578.76 is: 27,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,841 : 40,282.26 = 18,578.76 : x
  2. Step 2: Convert to fraction form
    26,841/40,282.26 = 18,578.76/x
  3. Step 3: Cross multiply
    26,841x = 40,282.26 × 18,578.76
  4. Step 4: Simplify right side
    26,841x = 748,394,440.80
  5. Step 5: Solve for x
    x = 748,394,440.80/26,841
  6. Step 6: Final answer
    x = 27,882.51

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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.