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Finding the Fourth Proportional to 7,884.80, 11,821.80 and 3,726.80

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Solution

The fourth proportional to 7,884.80, 11,821.80 and 3,726.80 is: 5,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.80 : 11,821.80 = 3,726.80 : x
  2. Step 2: Convert to fraction form
    7,884.80/11,821.80 = 3,726.80/x
  3. Step 3: Cross multiply
    7,884.80x = 11,821.80 × 3,726.80
  4. Step 4: Simplify right side
    7,884.80x = 44,057,484.24
  5. Step 5: Solve for x
    x = 44,057,484.24/7,884.80
  6. Step 6: Final answer
    x = 5,587.65

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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.