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Finding the Fourth Proportional to 3,854.94, 5,781.93 and 1,661.86

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Solution

The fourth proportional to 3,854.94, 5,781.93 and 1,661.86 is: 2,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.94 : 5,781.93 = 1,661.86 : x
  2. Step 2: Convert to fraction form
    3,854.94/5,781.93 = 1,661.86/x
  3. Step 3: Cross multiply
    3,854.94x = 5,781.93 × 1,661.86
  4. Step 4: Simplify right side
    3,854.94x = 9,608,758.19
  5. Step 5: Solve for x
    x = 9,608,758.19/3,854.94
  6. Step 6: Final answer
    x = 2,492.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.