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Finding the Fourth Proportional to 6,940, 10,409.92 and 1,745.92

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Solution

The fourth proportional to 6,940, 10,409.92 and 1,745.92 is: 2,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940 : 10,409.92 = 1,745.92 : x
  2. Step 2: Convert to fraction form
    6,940/10,409.92 = 1,745.92/x
  3. Step 3: Cross multiply
    6,940x = 10,409.92 × 1,745.92
  4. Step 4: Simplify right side
    6,940x = 18,174,887.53
  5. Step 5: Solve for x
    x = 18,174,887.53/6,940
  6. Step 6: Final answer
    x = 2,618.86

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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.