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Finding the Fourth Proportional to 26,115.81, 39,159 and 8,342.29

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Solution

The fourth proportional to 26,115.81, 39,159 and 8,342.29 is: 12,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,115.81 : 39,159 = 8,342.29 : x
  2. Step 2: Convert to fraction form
    26,115.81/39,159 = 8,342.29/x
  3. Step 3: Cross multiply
    26,115.81x = 39,159 × 8,342.29
  4. Step 4: Simplify right side
    26,115.81x = 326,675,783.06
  5. Step 5: Solve for x
    x = 326,675,783.06/26,115.81
  6. Step 6: Final answer
    x = 12,508.74

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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.