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Finding the Fourth Proportional to 10,969.90, 15,138.39 and 5,934.10

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Solution

The fourth proportional to 10,969.90, 15,138.39 and 5,934.10 is: 8,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.90 : 15,138.39 = 5,934.10 : x
  2. Step 2: Convert to fraction form
    10,969.90/15,138.39 = 5,934.10/x
  3. Step 3: Cross multiply
    10,969.90x = 15,138.39 × 5,934.10
  4. Step 4: Simplify right side
    10,969.90x = 89,832,682.25
  5. Step 5: Solve for x
    x = 89,832,682.25/10,969.90
  6. Step 6: Final answer
    x = 8,189.02

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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.