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Finding the Fourth Proportional to 4,886.36, 6,743.13 and 2,761.89

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Solution

The fourth proportional to 4,886.36, 6,743.13 and 2,761.89 is: 3,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.36 : 6,743.13 = 2,761.89 : x
  2. Step 2: Convert to fraction form
    4,886.36/6,743.13 = 2,761.89/x
  3. Step 3: Cross multiply
    4,886.36x = 6,743.13 × 2,761.89
  4. Step 4: Simplify right side
    4,886.36x = 18,623,783.32
  5. Step 5: Solve for x
    x = 18,623,783.32/4,886.36
  6. Step 6: Final answer
    x = 3,811.39

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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.