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Finding the Fourth Proportional to 8,192.76, 11,310.66 and 5,403.12

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Solution

The fourth proportional to 8,192.76, 11,310.66 and 5,403.12 is: 7,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.76 : 11,310.66 = 5,403.12 : x
  2. Step 2: Convert to fraction form
    8,192.76/11,310.66 = 5,403.12/x
  3. Step 3: Cross multiply
    8,192.76x = 11,310.66 × 5,403.12
  4. Step 4: Simplify right side
    8,192.76x = 61,112,853.26
  5. Step 5: Solve for x
    x = 61,112,853.26/8,192.76
  6. Step 6: Final answer
    x = 7,459.37

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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.