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Finding the Fourth Proportional to 3,200.37, 4,794.13 and 2,543.32

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Solution

The fourth proportional to 3,200.37, 4,794.13 and 2,543.32 is: 3,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.37 : 4,794.13 = 2,543.32 : x
  2. Step 2: Convert to fraction form
    3,200.37/4,794.13 = 2,543.32/x
  3. Step 3: Cross multiply
    3,200.37x = 4,794.13 × 2,543.32
  4. Step 4: Simplify right side
    3,200.37x = 12,193,006.71
  5. Step 5: Solve for x
    x = 12,193,006.71/3,200.37
  6. Step 6: Final answer
    x = 3,809.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.