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Finding the Fourth Proportional to 10,040.90, 15,061.35 and 8,194.10

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Solution

The fourth proportional to 10,040.90, 15,061.35 and 8,194.10 is: 12,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.90 : 15,061.35 = 8,194.10 : x
  2. Step 2: Convert to fraction form
    10,040.90/15,061.35 = 8,194.10/x
  3. Step 3: Cross multiply
    10,040.90x = 15,061.35 × 8,194.10
  4. Step 4: Simplify right side
    10,040.90x = 123,414,208.04
  5. Step 5: Solve for x
    x = 123,414,208.04/10,040.90
  6. Step 6: Final answer
    x = 12,291.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.