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Finding the Fourth Proportional to 7,431.54, 10,255.48 and 4,074.49

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Solution

The fourth proportional to 7,431.54, 10,255.48 and 4,074.49 is: 5,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.54 : 10,255.48 = 4,074.49 : x
  2. Step 2: Convert to fraction form
    7,431.54/10,255.48 = 4,074.49/x
  3. Step 3: Cross multiply
    7,431.54x = 10,255.48 × 4,074.49
  4. Step 4: Simplify right side
    7,431.54x = 41,785,850.71
  5. Step 5: Solve for x
    x = 41,785,850.71/7,431.54
  6. Step 6: Final answer
    x = 5,622.77

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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.