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Finding the Fourth Proportional to 3,391, 5,086.86 and 1,200.32

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Solution

The fourth proportional to 3,391, 5,086.86 and 1,200.32 is: 1,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391 : 5,086.86 = 1,200.32 : x
  2. Step 2: Convert to fraction form
    3,391/5,086.86 = 1,200.32/x
  3. Step 3: Cross multiply
    3,391x = 5,086.86 × 1,200.32
  4. Step 4: Simplify right side
    3,391x = 6,105,859.80
  5. Step 5: Solve for x
    x = 6,105,859.80/3,391
  6. Step 6: Final answer
    x = 1,800.61

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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.