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Finding the Fourth Proportional to 5,179.97, 7,769.75 and 1,670.10

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Solution

The fourth proportional to 5,179.97, 7,769.75 and 1,670.10 is: 2,505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.97 : 7,769.75 = 1,670.10 : x
  2. Step 2: Convert to fraction form
    5,179.97/7,769.75 = 1,670.10/x
  3. Step 3: Cross multiply
    5,179.97x = 7,769.75 × 1,670.10
  4. Step 4: Simplify right side
    5,179.97x = 12,976,251.12
  5. Step 5: Solve for x
    x = 12,976,251.12/5,179.97
  6. Step 6: Final answer
    x = 2,505.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.