Home / 10,778.08-16,167-3,758.20

Finding the Fourth Proportional to 10,778.08, 16,167 and 3,758.20

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Solution

The fourth proportional to 10,778.08, 16,167 and 3,758.20 is: 5,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.08 : 16,167 = 3,758.20 : x
  2. Step 2: Convert to fraction form
    10,778.08/16,167 = 3,758.20/x
  3. Step 3: Cross multiply
    10,778.08x = 16,167 × 3,758.20
  4. Step 4: Simplify right side
    10,778.08x = 60,758,819.40
  5. Step 5: Solve for x
    x = 60,758,819.40/10,778.08
  6. Step 6: Final answer
    x = 5,637.26

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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.