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Finding the Fourth Proportional to 36,081, 54,121.37 and 9,785.70

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Solution

The fourth proportional to 36,081, 54,121.37 and 9,785.70 is: 14,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,081 : 54,121.37 = 9,785.70 : x
  2. Step 2: Convert to fraction form
    36,081/54,121.37 = 9,785.70/x
  3. Step 3: Cross multiply
    36,081x = 54,121.37 × 9,785.70
  4. Step 4: Simplify right side
    36,081x = 529,615,441.48
  5. Step 5: Solve for x
    x = 529,615,441.48/36,081
  6. Step 6: Final answer
    x = 14,678.51

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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.