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Finding the Fourth Proportional to 5,697.78, 8,552.14 and 2,778.14

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Solution

The fourth proportional to 5,697.78, 8,552.14 and 2,778.14 is: 4,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.78 : 8,552.14 = 2,778.14 : x
  2. Step 2: Convert to fraction form
    5,697.78/8,552.14 = 2,778.14/x
  3. Step 3: Cross multiply
    5,697.78x = 8,552.14 × 2,778.14
  4. Step 4: Simplify right side
    5,697.78x = 23,758,992.51
  5. Step 5: Solve for x
    x = 23,758,992.51/5,697.78
  6. Step 6: Final answer
    x = 4,169.87

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1.5x scale

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.