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Finding the Fourth Proportional to 3,844.80, 5,767.08 and 1,379.76

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Solution

The fourth proportional to 3,844.80, 5,767.08 and 1,379.76 is: 2,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.80 : 5,767.08 = 1,379.76 : x
  2. Step 2: Convert to fraction form
    3,844.80/5,767.08 = 1,379.76/x
  3. Step 3: Cross multiply
    3,844.80x = 5,767.08 × 1,379.76
  4. Step 4: Simplify right side
    3,844.80x = 7,957,186.30
  5. Step 5: Solve for x
    x = 7,957,186.30/3,844.80
  6. Step 6: Final answer
    x = 2,069.60

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1.5x scale

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.