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Finding the Fourth Proportional to 6,938, 10,406.92 and 1,743.92

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Solution

The fourth proportional to 6,938, 10,406.92 and 1,743.92 is: 2,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938 : 10,406.92 = 1,743.92 : x
  2. Step 2: Convert to fraction form
    6,938/10,406.92 = 1,743.92/x
  3. Step 3: Cross multiply
    6,938x = 10,406.92 × 1,743.92
  4. Step 4: Simplify right side
    6,938x = 18,148,835.93
  5. Step 5: Solve for x
    x = 18,148,835.93/6,938
  6. Step 6: Final answer
    x = 2,615.86

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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.