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Finding the Fourth Proportional to 3,889.68, 5,834.80 and 1,221.04

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Solution

The fourth proportional to 3,889.68, 5,834.80 and 1,221.04 is: 1,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.68 : 5,834.80 = 1,221.04 : x
  2. Step 2: Convert to fraction form
    3,889.68/5,834.80 = 1,221.04/x
  3. Step 3: Cross multiply
    3,889.68x = 5,834.80 × 1,221.04
  4. Step 4: Simplify right side
    3,889.68x = 7,124,524.19
  5. Step 5: Solve for x
    x = 7,124,524.19/3,889.68
  6. Step 6: Final answer
    x = 1,831.65

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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.