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Finding the Fourth Proportional to 2,855.97, 3,941.73 and 1,677.11

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Solution

The fourth proportional to 2,855.97, 3,941.73 and 1,677.11 is: 2,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.97 : 3,941.73 = 1,677.11 : x
  2. Step 2: Convert to fraction form
    2,855.97/3,941.73 = 1,677.11/x
  3. Step 3: Cross multiply
    2,855.97x = 3,941.73 × 1,677.11
  4. Step 4: Simplify right side
    2,855.97x = 6,610,695.09
  5. Step 5: Solve for x
    x = 6,610,695.09/2,855.97
  6. Step 6: Final answer
    x = 2,314.69

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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.