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Finding the Fourth Proportional to 6,464.07, 9,696.11 and 4,272.35

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Solution

The fourth proportional to 6,464.07, 9,696.11 and 4,272.35 is: 6,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.07 : 9,696.11 = 4,272.35 : x
  2. Step 2: Convert to fraction form
    6,464.07/9,696.11 = 4,272.35/x
  3. Step 3: Cross multiply
    6,464.07x = 9,696.11 × 4,272.35
  4. Step 4: Simplify right side
    6,464.07x = 41,425,105.72
  5. Step 5: Solve for x
    x = 41,425,105.72/6,464.07
  6. Step 6: Final answer
    x = 6,408.52

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Similar ratio
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1.5x scale

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.