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Finding the Fourth Proportional to 4,487.86, 6,731.82 and 1,200.91

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Solution

The fourth proportional to 4,487.86, 6,731.82 and 1,200.91 is: 1,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.86 : 6,731.82 = 1,200.91 : x
  2. Step 2: Convert to fraction form
    4,487.86/6,731.82 = 1,200.91/x
  3. Step 3: Cross multiply
    4,487.86x = 6,731.82 × 1,200.91
  4. Step 4: Simplify right side
    4,487.86x = 8,084,309.96
  5. Step 5: Solve for x
    x = 8,084,309.96/4,487.86
  6. Step 6: Final answer
    x = 1,801.37

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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.