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Finding the Fourth Proportional to 5,445, 8,167.90 and 3,993.32

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Solution

The fourth proportional to 5,445, 8,167.90 and 3,993.32 is: 5,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445 : 8,167.90 = 3,993.32 : x
  2. Step 2: Convert to fraction form
    5,445/8,167.90 = 3,993.32/x
  3. Step 3: Cross multiply
    5,445x = 8,167.90 × 3,993.32
  4. Step 4: Simplify right side
    5,445x = 32,617,038.43
  5. Step 5: Solve for x
    x = 32,617,038.43/5,445
  6. Step 6: Final answer
    x = 5,990.27

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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.