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Finding the Fourth Proportional to 36,681.80, 55,023.11 and 11,721.65

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Solution

The fourth proportional to 36,681.80, 55,023.11 and 11,721.65 is: 17,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,681.80 : 55,023.11 = 11,721.65 : x
  2. Step 2: Convert to fraction form
    36,681.80/55,023.11 = 11,721.65/x
  3. Step 3: Cross multiply
    36,681.80x = 55,023.11 × 11,721.65
  4. Step 4: Simplify right side
    36,681.80x = 644,961,637.33
  5. Step 5: Solve for x
    x = 644,961,637.33/36,681.80
  6. Step 6: Final answer
    x = 17,582.61

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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.