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Finding the Fourth Proportional to 39,760, 54,880.32 and 26,512

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Solution

The fourth proportional to 39,760, 54,880.32 and 26,512 is: 36,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,760 : 54,880.32 = 26,512 : x
  2. Step 2: Convert to fraction form
    39,760/54,880.32 = 26,512/x
  3. Step 3: Cross multiply
    39,760x = 54,880.32 × 26,512
  4. Step 4: Simplify right side
    39,760x = 1,454,987,043.84
  5. Step 5: Solve for x
    x = 1,454,987,043.84/39,760
  6. Step 6: Final answer
    x = 36,594.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.