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Finding the Fourth Proportional to 4,947, 6,827.34 and 2,739

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Solution

The fourth proportional to 4,947, 6,827.34 and 2,739 is: 3,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947 : 6,827.34 = 2,739 : x
  2. Step 2: Convert to fraction form
    4,947/6,827.34 = 2,739/x
  3. Step 3: Cross multiply
    4,947x = 6,827.34 × 2,739
  4. Step 4: Simplify right side
    4,947x = 18,700,084.26
  5. Step 5: Solve for x
    x = 18,700,084.26/4,947
  6. Step 6: Final answer
    x = 3,780.09

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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.