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Finding the Fourth Proportional to 26,980.41, 40,443.25 and 12,919.83

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Solution

The fourth proportional to 26,980.41, 40,443.25 and 12,919.83 is: 19,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,980.41 : 40,443.25 = 12,919.83 : x
  2. Step 2: Convert to fraction form
    26,980.41/40,443.25 = 12,919.83/x
  3. Step 3: Cross multiply
    26,980.41x = 40,443.25 × 12,919.83
  4. Step 4: Simplify right side
    26,980.41x = 522,519,914.65
  5. Step 5: Solve for x
    x = 522,519,914.65/26,980.41
  6. Step 6: Final answer
    x = 19,366.64

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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.