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Finding the Fourth Proportional to 3,800.78, 5,245 and 2,122.17

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Solution

The fourth proportional to 3,800.78, 5,245 and 2,122.17 is: 2,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.78 : 5,245 = 2,122.17 : x
  2. Step 2: Convert to fraction form
    3,800.78/5,245 = 2,122.17/x
  3. Step 3: Cross multiply
    3,800.78x = 5,245 × 2,122.17
  4. Step 4: Simplify right side
    3,800.78x = 11,130,781.65
  5. Step 5: Solve for x
    x = 11,130,781.65/3,800.78
  6. Step 6: Final answer
    x = 2,928.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.