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Finding the Fourth Proportional to 36,561, 54,841.80 and 8,859

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Solution

The fourth proportional to 36,561, 54,841.80 and 8,859 is: 13,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,561 : 54,841.80 = 8,859 : x
  2. Step 2: Convert to fraction form
    36,561/54,841.80 = 8,859/x
  3. Step 3: Cross multiply
    36,561x = 54,841.80 × 8,859
  4. Step 4: Simplify right side
    36,561x = 485,843,506.20
  5. Step 5: Solve for x
    x = 485,843,506.20/36,561
  6. Step 6: Final answer
    x = 13,288.57

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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.