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Finding the Fourth Proportional to 3,860.16, 5,789.73 and 1,086.55

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Solution

The fourth proportional to 3,860.16, 5,789.73 and 1,086.55 is: 1,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.16 : 5,789.73 = 1,086.55 : x
  2. Step 2: Convert to fraction form
    3,860.16/5,789.73 = 1,086.55/x
  3. Step 3: Cross multiply
    3,860.16x = 5,789.73 × 1,086.55
  4. Step 4: Simplify right side
    3,860.16x = 6,290,831.13
  5. Step 5: Solve for x
    x = 6,290,831.13/3,860.16
  6. Step 6: Final answer
    x = 1,629.68

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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.