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Finding the Fourth Proportional to 6,839, 9,437.82 and 4,356.44

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Solution

The fourth proportional to 6,839, 9,437.82 and 4,356.44 is: 6,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839 : 9,437.82 = 4,356.44 : x
  2. Step 2: Convert to fraction form
    6,839/9,437.82 = 4,356.44/x
  3. Step 3: Cross multiply
    6,839x = 9,437.82 × 4,356.44
  4. Step 4: Simplify right side
    6,839x = 41,115,296.56
  5. Step 5: Solve for x
    x = 41,115,296.56/6,839
  6. Step 6: Final answer
    x = 6,011.89

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1.5x scale

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.