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Finding the Fourth Proportional to 3,782.78, 5,674.20 and 1,150.71

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Solution

The fourth proportional to 3,782.78, 5,674.20 and 1,150.71 is: 1,726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.78 : 5,674.20 = 1,150.71 : x
  2. Step 2: Convert to fraction form
    3,782.78/5,674.20 = 1,150.71/x
  3. Step 3: Cross multiply
    3,782.78x = 5,674.20 × 1,150.71
  4. Step 4: Simplify right side
    3,782.78x = 6,529,363.00
  5. Step 5: Solve for x
    x = 6,529,363.00/3,782.78
  6. Step 6: Final answer
    x = 1,726.08

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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.