Home / 5,445-8,170.72-1,982.52

Finding the Fourth Proportional to 5,445, 8,170.72 and 1,982.52

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Solution

The fourth proportional to 5,445, 8,170.72 and 1,982.52 is: 2,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445 : 8,170.72 = 1,982.52 : x
  2. Step 2: Convert to fraction form
    5,445/8,170.72 = 1,982.52/x
  3. Step 3: Cross multiply
    5,445x = 8,170.72 × 1,982.52
  4. Step 4: Simplify right side
    5,445x = 16,198,615.81
  5. Step 5: Solve for x
    x = 16,198,615.81/5,445
  6. Step 6: Final answer
    x = 2,974.95

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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.