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Finding the Fourth Proportional to 2,855.85, 3,941.56 and 1,661.53

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Solution

The fourth proportional to 2,855.85, 3,941.56 and 1,661.53 is: 2,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.85 : 3,941.56 = 1,661.53 : x
  2. Step 2: Convert to fraction form
    2,855.85/3,941.56 = 1,661.53/x
  3. Step 3: Cross multiply
    2,855.85x = 3,941.56 × 1,661.53
  4. Step 4: Simplify right side
    2,855.85x = 6,549,020.19
  5. Step 5: Solve for x
    x = 6,549,020.19/2,855.85
  6. Step 6: Final answer
    x = 2,293.19

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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.