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Finding the Fourth Proportional to 5,375.99, 8,063.60 and 1,427.16

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Solution

The fourth proportional to 5,375.99, 8,063.60 and 1,427.16 is: 2,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.99 : 8,063.60 = 1,427.16 : x
  2. Step 2: Convert to fraction form
    5,375.99/8,063.60 = 1,427.16/x
  3. Step 3: Cross multiply
    5,375.99x = 8,063.60 × 1,427.16
  4. Step 4: Simplify right side
    5,375.99x = 11,508,040.24
  5. Step 5: Solve for x
    x = 11,508,040.24/5,375.99
  6. Step 6: Final answer
    x = 2,140.64

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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.