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Finding the Fourth Proportional to 36,257, 54,385.50 and 12,884.36

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Solution

The fourth proportional to 36,257, 54,385.50 and 12,884.36 is: 19,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,257 : 54,385.50 = 12,884.36 : x
  2. Step 2: Convert to fraction form
    36,257/54,385.50 = 12,884.36/x
  3. Step 3: Cross multiply
    36,257x = 54,385.50 × 12,884.36
  4. Step 4: Simplify right side
    36,257x = 700,722,360.78
  5. Step 5: Solve for x
    x = 700,722,360.78/36,257
  6. Step 6: Final answer
    x = 19,326.54

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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.