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Finding the Fourth Proportional to 3,854.79, 5,784.62 and 2,214.54

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Solution

The fourth proportional to 3,854.79, 5,784.62 and 2,214.54 is: 3,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.79 : 5,784.62 = 2,214.54 : x
  2. Step 2: Convert to fraction form
    3,854.79/5,784.62 = 2,214.54/x
  3. Step 3: Cross multiply
    3,854.79x = 5,784.62 × 2,214.54
  4. Step 4: Simplify right side
    3,854.79x = 12,810,261.30
  5. Step 5: Solve for x
    x = 12,810,261.30/3,854.79
  6. Step 6: Final answer
    x = 3,323.21

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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.