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Finding the Fourth Proportional to 26,883, 40,324.68 and 8,415

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Solution

The fourth proportional to 26,883, 40,324.68 and 8,415 is: 12,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,883 : 40,324.68 = 8,415 : x
  2. Step 2: Convert to fraction form
    26,883/40,324.68 = 8,415/x
  3. Step 3: Cross multiply
    26,883x = 40,324.68 × 8,415
  4. Step 4: Simplify right side
    26,883x = 339,332,182.20
  5. Step 5: Solve for x
    x = 339,332,182.20/26,883
  6. Step 6: Final answer
    x = 12,622.56

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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.