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Finding the Fourth Proportional to 9,202.89, 12,611.50 and 8,317.16

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Solution

The fourth proportional to 9,202.89, 12,611.50 and 8,317.16 is: 11,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.89 : 12,611.50 = 8,317.16 : x
  2. Step 2: Convert to fraction form
    9,202.89/12,611.50 = 8,317.16/x
  3. Step 3: Cross multiply
    9,202.89x = 12,611.50 × 8,317.16
  4. Step 4: Simplify right side
    9,202.89x = 104,891,863.34
  5. Step 5: Solve for x
    x = 104,891,863.34/9,202.89
  6. Step 6: Final answer
    x = 11,397.71

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.