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Finding the Fourth Proportional to 6,791.67, 9,372 and 4,139.93

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Solution

The fourth proportional to 6,791.67, 9,372 and 4,139.93 is: 5,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.67 : 9,372 = 4,139.93 : x
  2. Step 2: Convert to fraction form
    6,791.67/9,372 = 4,139.93/x
  3. Step 3: Cross multiply
    6,791.67x = 9,372 × 4,139.93
  4. Step 4: Simplify right side
    6,791.67x = 38,799,423.96
  5. Step 5: Solve for x
    x = 38,799,423.96/6,791.67
  6. Step 6: Final answer
    x = 5,712.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.