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Finding the Fourth Proportional to 5,574.74, 8,378.51 and 3,639.24

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Solution

The fourth proportional to 5,574.74, 8,378.51 and 3,639.24 is: 5,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.74 : 8,378.51 = 3,639.24 : x
  2. Step 2: Convert to fraction form
    5,574.74/8,378.51 = 3,639.24/x
  3. Step 3: Cross multiply
    5,574.74x = 8,378.51 × 3,639.24
  4. Step 4: Simplify right side
    5,574.74x = 30,491,390.54
  5. Step 5: Solve for x
    x = 30,491,390.54/5,574.74
  6. Step 6: Final answer
    x = 5,469.57

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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.