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Finding the Fourth Proportional to 10,969.95, 15,138.54 and 5,934.17

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Solution

The fourth proportional to 10,969.95, 15,138.54 and 5,934.17 is: 8,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.95 : 15,138.54 = 5,934.17 : x
  2. Step 2: Convert to fraction form
    10,969.95/15,138.54 = 5,934.17/x
  3. Step 3: Cross multiply
    10,969.95x = 15,138.54 × 5,934.17
  4. Step 4: Simplify right side
    10,969.95x = 89,834,594.22
  5. Step 5: Solve for x
    x = 89,834,594.22/10,969.95
  6. Step 6: Final answer
    x = 8,189.15

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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.