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Finding the Fourth Proportional to 3,740.76, 5,609.73 and 1,241.47

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Solution

The fourth proportional to 3,740.76, 5,609.73 and 1,241.47 is: 1,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.76 : 5,609.73 = 1,241.47 : x
  2. Step 2: Convert to fraction form
    3,740.76/5,609.73 = 1,241.47/x
  3. Step 3: Cross multiply
    3,740.76x = 5,609.73 × 1,241.47
  4. Step 4: Simplify right side
    3,740.76x = 6,964,311.50
  5. Step 5: Solve for x
    x = 6,964,311.50/3,740.76
  6. Step 6: Final answer
    x = 1,861.74

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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.