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Finding the Fourth Proportional to 6,411.78, 9,604.35 and 3,282.32

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Solution

The fourth proportional to 6,411.78, 9,604.35 and 3,282.32 is: 4,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.78 : 9,604.35 = 3,282.32 : x
  2. Step 2: Convert to fraction form
    6,411.78/9,604.35 = 3,282.32/x
  3. Step 3: Cross multiply
    6,411.78x = 9,604.35 × 3,282.32
  4. Step 4: Simplify right side
    6,411.78x = 31,524,564.87
  5. Step 5: Solve for x
    x = 31,524,564.87/6,411.78
  6. Step 6: Final answer
    x = 4,916.66

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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.