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Finding the Fourth Proportional to 2,795.64, 3,857.74 and 1,616.78

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Solution

The fourth proportional to 2,795.64, 3,857.74 and 1,616.78 is: 2,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.64 : 3,857.74 = 1,616.78 : x
  2. Step 2: Convert to fraction form
    2,795.64/3,857.74 = 1,616.78/x
  3. Step 3: Cross multiply
    2,795.64x = 3,857.74 × 1,616.78
  4. Step 4: Simplify right side
    2,795.64x = 6,237,116.88
  5. Step 5: Solve for x
    x = 6,237,116.88/2,795.64
  6. Step 6: Final answer
    x = 2,231.02

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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.