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Finding the Fourth Proportional to 3,686, 5,529.91 and 1,221.07

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Solution

The fourth proportional to 3,686, 5,529.91 and 1,221.07 is: 1,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686 : 5,529.91 = 1,221.07 : x
  2. Step 2: Convert to fraction form
    3,686/5,529.91 = 1,221.07/x
  3. Step 3: Cross multiply
    3,686x = 5,529.91 × 1,221.07
  4. Step 4: Simplify right side
    3,686x = 6,752,407.20
  5. Step 5: Solve for x
    x = 6,752,407.20/3,686
  6. Step 6: Final answer
    x = 1,831.91

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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.