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Finding the Fourth Proportional to 3,778.62, 5,669.13 and 2,046.30

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Solution

The fourth proportional to 3,778.62, 5,669.13 and 2,046.30 is: 3,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.62 : 5,669.13 = 2,046.30 : x
  2. Step 2: Convert to fraction form
    3,778.62/5,669.13 = 2,046.30/x
  3. Step 3: Cross multiply
    3,778.62x = 5,669.13 × 2,046.30
  4. Step 4: Simplify right side
    3,778.62x = 11,600,740.72
  5. Step 5: Solve for x
    x = 11,600,740.72/3,778.62
  6. Step 6: Final answer
    x = 3,070.10

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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.