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Finding the Fourth Proportional to 3,854.89, 5,784.10 and 2,097.26

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Solution

The fourth proportional to 3,854.89, 5,784.10 and 2,097.26 is: 3,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.89 : 5,784.10 = 2,097.26 : x
  2. Step 2: Convert to fraction form
    3,854.89/5,784.10 = 2,097.26/x
  3. Step 3: Cross multiply
    3,854.89x = 5,784.10 × 2,097.26
  4. Step 4: Simplify right side
    3,854.89x = 12,130,778.65
  5. Step 5: Solve for x
    x = 12,130,778.65/3,854.89
  6. Step 6: Final answer
    x = 3,146.85

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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.