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Finding the Fourth Proportional to 6,661.71, 9,989.19 and 3,889.08

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Solution

The fourth proportional to 6,661.71, 9,989.19 and 3,889.08 is: 5,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.71 : 9,989.19 = 3,889.08 : x
  2. Step 2: Convert to fraction form
    6,661.71/9,989.19 = 3,889.08/x
  3. Step 3: Cross multiply
    6,661.71x = 9,989.19 × 3,889.08
  4. Step 4: Simplify right side
    6,661.71x = 38,848,759.05
  5. Step 5: Solve for x
    x = 38,848,759.05/6,661.71
  6. Step 6: Final answer
    x = 5,831.65

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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.