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Finding the Fourth Proportional to 7,449, 10,279.62 and 4,137

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Solution

The fourth proportional to 7,449, 10,279.62 and 4,137 is: 5,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449 : 10,279.62 = 4,137 : x
  2. Step 2: Convert to fraction form
    7,449/10,279.62 = 4,137/x
  3. Step 3: Cross multiply
    7,449x = 10,279.62 × 4,137
  4. Step 4: Simplify right side
    7,449x = 42,526,787.94
  5. Step 5: Solve for x
    x = 42,526,787.94/7,449
  6. Step 6: Final answer
    x = 5,709.06

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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.