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Finding the Fourth Proportional to 10,969.94, 15,138.53 and 5,934.15

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Solution

The fourth proportional to 10,969.94, 15,138.53 and 5,934.15 is: 8,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.94 : 15,138.53 = 5,934.15 : x
  2. Step 2: Convert to fraction form
    10,969.94/15,138.53 = 5,934.15/x
  3. Step 3: Cross multiply
    10,969.94x = 15,138.53 × 5,934.15
  4. Step 4: Simplify right side
    10,969.94x = 89,834,307.80
  5. Step 5: Solve for x
    x = 89,834,307.80/10,969.94
  6. Step 6: Final answer
    x = 8,189.13

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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.