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Finding the Fourth Proportional to 26,295, 39,448.26 and 9,879

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Solution

The fourth proportional to 26,295, 39,448.26 and 9,879 is: 14,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,295 : 39,448.26 = 9,879 : x
  2. Step 2: Convert to fraction form
    26,295/39,448.26 = 9,879/x
  3. Step 3: Cross multiply
    26,295x = 39,448.26 × 9,879
  4. Step 4: Simplify right side
    26,295x = 389,709,360.54
  5. Step 5: Solve for x
    x = 389,709,360.54/26,295
  6. Step 6: Final answer
    x = 14,820.66

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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.