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Finding the Fourth Proportional to 8,825.82, 12,181.35 and 5,470.12

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Solution

The fourth proportional to 8,825.82, 12,181.35 and 5,470.12 is: 7,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.82 : 12,181.35 = 5,470.12 : x
  2. Step 2: Convert to fraction form
    8,825.82/12,181.35 = 5,470.12/x
  3. Step 3: Cross multiply
    8,825.82x = 12,181.35 × 5,470.12
  4. Step 4: Simplify right side
    8,825.82x = 66,633,446.26
  5. Step 5: Solve for x
    x = 66,633,446.26/8,825.82
  6. Step 6: Final answer
    x = 7,549.83

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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.