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Finding the Fourth Proportional to 3,860.80, 5,776.80 and 2,564.80

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Solution

The fourth proportional to 3,860.80, 5,776.80 and 2,564.80 is: 3,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.80 : 5,776.80 = 2,564.80 : x
  2. Step 2: Convert to fraction form
    3,860.80/5,776.80 = 2,564.80/x
  3. Step 3: Cross multiply
    3,860.80x = 5,776.80 × 2,564.80
  4. Step 4: Simplify right side
    3,860.80x = 14,816,336.64
  5. Step 5: Solve for x
    x = 14,816,336.64/3,860.80
  6. Step 6: Final answer
    x = 3,837.63

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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.