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Finding the Fourth Proportional to 26,728.40, 36,885 and 14,791.76

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Solution

The fourth proportional to 26,728.40, 36,885 and 14,791.76 is: 20,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,728.40 : 36,885 = 14,791.76 : x
  2. Step 2: Convert to fraction form
    26,728.40/36,885 = 14,791.76/x
  3. Step 3: Cross multiply
    26,728.40x = 36,885 × 14,791.76
  4. Step 4: Simplify right side
    26,728.40x = 545,594,067.60
  5. Step 5: Solve for x
    x = 545,594,067.60/26,728.40
  6. Step 6: Final answer
    x = 20,412.52

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1.5x scale

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.