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Finding the Fourth Proportional to 6,410.40, 9,609 and 4,072.11

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Solution

The fourth proportional to 6,410.40, 9,609 and 4,072.11 is: 6,103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.40 : 9,609 = 4,072.11 : x
  2. Step 2: Convert to fraction form
    6,410.40/9,609 = 4,072.11/x
  3. Step 3: Cross multiply
    6,410.40x = 9,609 × 4,072.11
  4. Step 4: Simplify right side
    6,410.40x = 39,128,904.99
  5. Step 5: Solve for x
    x = 39,128,904.99/6,410.40
  6. Step 6: Final answer
    x = 6,103.97

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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.