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Finding the Fourth Proportional to 3,878.52, 5,808.51 and 2,120.90

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Solution

The fourth proportional to 3,878.52, 5,808.51 and 2,120.90 is: 3,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.52 : 5,808.51 = 2,120.90 : x
  2. Step 2: Convert to fraction form
    3,878.52/5,808.51 = 2,120.90/x
  3. Step 3: Cross multiply
    3,878.52x = 5,808.51 × 2,120.90
  4. Step 4: Simplify right side
    3,878.52x = 12,319,268.86
  5. Step 5: Solve for x
    x = 12,319,268.86/3,878.52
  6. Step 6: Final answer
    x = 3,176.28

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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.