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Finding the Fourth Proportional to 6,610.12, 9,122.10 and 3,815.80

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Solution

The fourth proportional to 6,610.12, 9,122.10 and 3,815.80 is: 5,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.12 : 9,122.10 = 3,815.80 : x
  2. Step 2: Convert to fraction form
    6,610.12/9,122.10 = 3,815.80/x
  3. Step 3: Cross multiply
    6,610.12x = 9,122.10 × 3,815.80
  4. Step 4: Simplify right side
    6,610.12x = 34,808,109.18
  5. Step 5: Solve for x
    x = 34,808,109.18/6,610.12
  6. Step 6: Final answer
    x = 5,265.88

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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.