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Finding the Fourth Proportional to 7,661.40, 11,496.42 and 3,278.40

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Solution

The fourth proportional to 7,661.40, 11,496.42 and 3,278.40 is: 4,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.40 : 11,496.42 = 3,278.40 : x
  2. Step 2: Convert to fraction form
    7,661.40/11,496.42 = 3,278.40/x
  3. Step 3: Cross multiply
    7,661.40x = 11,496.42 × 3,278.40
  4. Step 4: Simplify right side
    7,661.40x = 37,689,863.33
  5. Step 5: Solve for x
    x = 37,689,863.33/7,661.40
  6. Step 6: Final answer
    x = 4,919.45

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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.