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Finding the Fourth Proportional to 3,808.52, 5,712.30 and 2,164.91

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Solution

The fourth proportional to 3,808.52, 5,712.30 and 2,164.91 is: 3,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.52 : 5,712.30 = 2,164.91 : x
  2. Step 2: Convert to fraction form
    3,808.52/5,712.30 = 2,164.91/x
  3. Step 3: Cross multiply
    3,808.52x = 5,712.30 × 2,164.91
  4. Step 4: Simplify right side
    3,808.52x = 12,366,629.67
  5. Step 5: Solve for x
    x = 12,366,629.67/3,808.52
  6. Step 6: Final answer
    x = 3,247.10

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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.