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Finding the Fourth Proportional to 26,256, 39,361.92 and 10,684.80

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Solution

The fourth proportional to 26,256, 39,361.92 and 10,684.80 is: 16,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,256 : 39,361.92 = 10,684.80 : x
  2. Step 2: Convert to fraction form
    26,256/39,361.92 = 10,684.80/x
  3. Step 3: Cross multiply
    26,256x = 39,361.92 × 10,684.80
  4. Step 4: Simplify right side
    26,256x = 420,574,242.82
  5. Step 5: Solve for x
    x = 420,574,242.82/26,256
  6. Step 6: Final answer
    x = 16,018.21

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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.