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Finding the Fourth Proportional to 2,776.16, 3,832.80 and 2,512

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Solution

The fourth proportional to 2,776.16, 3,832.80 and 2,512 is: 3,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.16 : 3,832.80 = 2,512 : x
  2. Step 2: Convert to fraction form
    2,776.16/3,832.80 = 2,512/x
  3. Step 3: Cross multiply
    2,776.16x = 3,832.80 × 2,512
  4. Step 4: Simplify right side
    2,776.16x = 9,627,993.60
  5. Step 5: Solve for x
    x = 9,627,993.60/2,776.16
  6. Step 6: Final answer
    x = 3,468.10

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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.