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Finding the Fourth Proportional to 2,786.62, 3,840.87 and 2,225.29

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Solution

The fourth proportional to 2,786.62, 3,840.87 and 2,225.29 is: 3,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.62 : 3,840.87 = 2,225.29 : x
  2. Step 2: Convert to fraction form
    2,786.62/3,840.87 = 2,225.29/x
  3. Step 3: Cross multiply
    2,786.62x = 3,840.87 × 2,225.29
  4. Step 4: Simplify right side
    2,786.62x = 8,547,049.60
  5. Step 5: Solve for x
    x = 8,547,049.60/2,786.62
  6. Step 6: Final answer
    x = 3,067.17

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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.