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Finding the Fourth Proportional to 3,865.69, 5,795.46 and 1,672.87

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Solution

The fourth proportional to 3,865.69, 5,795.46 and 1,672.87 is: 2,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.69 : 5,795.46 = 1,672.87 : x
  2. Step 2: Convert to fraction form
    3,865.69/5,795.46 = 1,672.87/x
  3. Step 3: Cross multiply
    3,865.69x = 5,795.46 × 1,672.87
  4. Step 4: Simplify right side
    3,865.69x = 9,695,051.17
  5. Step 5: Solve for x
    x = 9,695,051.17/3,865.69
  6. Step 6: Final answer
    x = 2,507.97

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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.