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Finding the Fourth Proportional to 8,197.26, 11,316.90 and 5,407.62

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Solution

The fourth proportional to 8,197.26, 11,316.90 and 5,407.62 is: 7,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.26 : 11,316.90 = 5,407.62 : x
  2. Step 2: Convert to fraction form
    8,197.26/11,316.90 = 5,407.62/x
  3. Step 3: Cross multiply
    8,197.26x = 11,316.90 × 5,407.62
  4. Step 4: Simplify right side
    8,197.26x = 61,197,494.78
  5. Step 5: Solve for x
    x = 61,197,494.78/8,197.26
  6. Step 6: Final answer
    x = 7,465.60

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