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Finding the Fourth Proportional to 26,919, 40,402.98 and 13,780.44

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Solution

The fourth proportional to 26,919, 40,402.98 and 13,780.44 is: 20,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,919 : 40,402.98 = 13,780.44 : x
  2. Step 2: Convert to fraction form
    26,919/40,402.98 = 13,780.44/x
  3. Step 3: Cross multiply
    26,919x = 40,402.98 × 13,780.44
  4. Step 4: Simplify right side
    26,919x = 556,770,841.71
  5. Step 5: Solve for x
    x = 556,770,841.71/26,919
  6. Step 6: Final answer
    x = 20,683.19

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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.