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Finding the Fourth Proportional to 10,491.14, 15,736.68 and 7,194.23

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Solution

The fourth proportional to 10,491.14, 15,736.68 and 7,194.23 is: 10,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.14 : 15,736.68 = 7,194.23 : x
  2. Step 2: Convert to fraction form
    10,491.14/15,736.68 = 7,194.23/x
  3. Step 3: Cross multiply
    10,491.14x = 15,736.68 × 7,194.23
  4. Step 4: Simplify right side
    10,491.14x = 113,213,295.36
  5. Step 5: Solve for x
    x = 113,213,295.36/10,491.14
  6. Step 6: Final answer
    x = 10,791.32

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1.5x scale

Why These Related Problems?

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