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Finding the Fourth Proportional to 26,400, 39,601.92 and 9,984

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Solution

The fourth proportional to 26,400, 39,601.92 and 9,984 is: 14,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,400 : 39,601.92 = 9,984 : x
  2. Step 2: Convert to fraction form
    26,400/39,601.92 = 9,984/x
  3. Step 3: Cross multiply
    26,400x = 39,601.92 × 9,984
  4. Step 4: Simplify right side
    26,400x = 395,385,569.28
  5. Step 5: Solve for x
    x = 395,385,569.28/26,400
  6. Step 6: Final answer
    x = 14,976.73

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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.