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Finding the Fourth Proportional to 26,778.72, 36,954 and 15,600

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Solution

The fourth proportional to 26,778.72, 36,954 and 15,600 is: 21,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,778.72 : 36,954 = 15,600 : x
  2. Step 2: Convert to fraction form
    26,778.72/36,954 = 15,600/x
  3. Step 3: Cross multiply
    26,778.72x = 36,954 × 15,600
  4. Step 4: Simplify right side
    26,778.72x = 576,482,400
  5. Step 5: Solve for x
    x = 576,482,400/26,778.72
  6. Step 6: Final answer
    x = 21,527.63

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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.