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Finding the Fourth Proportional to 36,259.92, 54,388.80 and 12,870

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Solution

The fourth proportional to 36,259.92, 54,388.80 and 12,870 is: 19,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,259.92 : 54,388.80 = 12,870 : x
  2. Step 2: Convert to fraction form
    36,259.92/54,388.80 = 12,870/x
  3. Step 3: Cross multiply
    36,259.92x = 54,388.80 × 12,870
  4. Step 4: Simplify right side
    36,259.92x = 699,983,856
  5. Step 5: Solve for x
    x = 699,983,856/36,259.92
  6. Step 6: Final answer
    x = 19,304.62

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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.