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Finding the Fourth Proportional to 10,491.75, 15,742.49 and 5,563.71

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Solution

The fourth proportional to 10,491.75, 15,742.49 and 5,563.71 is: 8,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.75 : 15,742.49 = 5,563.71 : x
  2. Step 2: Convert to fraction form
    10,491.75/15,742.49 = 5,563.71/x
  3. Step 3: Cross multiply
    10,491.75x = 15,742.49 × 5,563.71
  4. Step 4: Simplify right side
    10,491.75x = 87,586,621.22
  5. Step 5: Solve for x
    x = 87,586,621.22/10,491.75
  6. Step 6: Final answer
    x = 8,348.14

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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.