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Finding the Fourth Proportional to 3,707, 5,553.18 and 2,783.64

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Solution

The fourth proportional to 3,707, 5,553.18 and 2,783.64 is: 4,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707 : 5,553.18 = 2,783.64 : x
  2. Step 2: Convert to fraction form
    3,707/5,553.18 = 2,783.64/x
  3. Step 3: Cross multiply
    3,707x = 5,553.18 × 2,783.64
  4. Step 4: Simplify right side
    3,707x = 15,458,053.98
  5. Step 5: Solve for x
    x = 15,458,053.98/3,707
  6. Step 6: Final answer
    x = 4,169.96

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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.