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Finding the Fourth Proportional to 36,081.13, 54,115 and 9,782.45

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Solution

The fourth proportional to 36,081.13, 54,115 and 9,782.45 is: 14,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,081.13 : 54,115 = 9,782.45 : x
  2. Step 2: Convert to fraction form
    36,081.13/54,115 = 9,782.45/x
  3. Step 3: Cross multiply
    36,081.13x = 54,115 × 9,782.45
  4. Step 4: Simplify right side
    36,081.13x = 529,377,281.75
  5. Step 5: Solve for x
    x = 529,377,281.75/36,081.13
  6. Step 6: Final answer
    x = 14,671.86

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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.