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Finding the Fourth Proportional to 9,771.72, 13,496.11 and 6,622.44

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Solution

The fourth proportional to 9,771.72, 13,496.11 and 6,622.44 is: 9,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.72 : 13,496.11 = 6,622.44 : x
  2. Step 2: Convert to fraction form
    9,771.72/13,496.11 = 6,622.44/x
  3. Step 3: Cross multiply
    9,771.72x = 13,496.11 × 6,622.44
  4. Step 4: Simplify right side
    9,771.72x = 89,377,178.71
  5. Step 5: Solve for x
    x = 89,377,178.71/9,771.72
  6. Step 6: Final answer
    x = 9,146.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.