Home / 5,427-8,140.32-1,729.44

Finding the Fourth Proportional to 5,427, 8,140.32 and 1,729.44

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Solution

The fourth proportional to 5,427, 8,140.32 and 1,729.44 is: 2,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427 : 8,140.32 = 1,729.44 : x
  2. Step 2: Convert to fraction form
    5,427/8,140.32 = 1,729.44/x
  3. Step 3: Cross multiply
    5,427x = 8,140.32 × 1,729.44
  4. Step 4: Simplify right side
    5,427x = 14,078,195.02
  5. Step 5: Solve for x
    x = 14,078,195.02/5,427
  6. Step 6: Final answer
    x = 2,594.10

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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.