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Finding the Fourth Proportional to 3,801.92, 5,689.90 and 3,186.32

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Solution

The fourth proportional to 3,801.92, 5,689.90 and 3,186.32 is: 4,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.92 : 5,689.90 = 3,186.32 : x
  2. Step 2: Convert to fraction form
    3,801.92/5,689.90 = 3,186.32/x
  3. Step 3: Cross multiply
    3,801.92x = 5,689.90 × 3,186.32
  4. Step 4: Simplify right side
    3,801.92x = 18,129,842.17
  5. Step 5: Solve for x
    x = 18,129,842.17/3,801.92
  6. Step 6: Final answer
    x = 4,768.60

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1.5x scale

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.