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Finding the Fourth Proportional to 6,640.90, 9,123.43 and 5,942

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Solution

The fourth proportional to 6,640.90, 9,123.43 and 5,942 is: 8,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.90 : 9,123.43 = 5,942 : x
  2. Step 2: Convert to fraction form
    6,640.90/9,123.43 = 5,942/x
  3. Step 3: Cross multiply
    6,640.90x = 9,123.43 × 5,942
  4. Step 4: Simplify right side
    6,640.90x = 54,211,421.06
  5. Step 5: Solve for x
    x = 54,211,421.06/6,640.90
  6. Step 6: Final answer
    x = 8,163.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.