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Finding the Fourth Proportional to 4,969.66, 6,857.68 and 2,731.51

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Solution

The fourth proportional to 4,969.66, 6,857.68 and 2,731.51 is: 3,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.66 : 6,857.68 = 2,731.51 : x
  2. Step 2: Convert to fraction form
    4,969.66/6,857.68 = 2,731.51/x
  3. Step 3: Cross multiply
    4,969.66x = 6,857.68 × 2,731.51
  4. Step 4: Simplify right side
    4,969.66x = 18,731,821.50
  5. Step 5: Solve for x
    x = 18,731,821.50/4,969.66
  6. Step 6: Final answer
    x = 3,769.24

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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.