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Finding the Fourth Proportional to 3,860.98, 5,786.81 and 1,778.13

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Solution

The fourth proportional to 3,860.98, 5,786.81 and 1,778.13 is: 2,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.98 : 5,786.81 = 1,778.13 : x
  2. Step 2: Convert to fraction form
    3,860.98/5,786.81 = 1,778.13/x
  3. Step 3: Cross multiply
    3,860.98x = 5,786.81 × 1,778.13
  4. Step 4: Simplify right side
    3,860.98x = 10,289,700.47
  5. Step 5: Solve for x
    x = 10,289,700.47/3,860.98
  6. Step 6: Final answer
    x = 2,665.05

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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.