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Finding the Fourth Proportional to 5,178.59, 7,769.03 and 1,891.68

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Solution

The fourth proportional to 5,178.59, 7,769.03 and 1,891.68 is: 2,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.59 : 7,769.03 = 1,891.68 : x
  2. Step 2: Convert to fraction form
    5,178.59/7,769.03 = 1,891.68/x
  3. Step 3: Cross multiply
    5,178.59x = 7,769.03 × 1,891.68
  4. Step 4: Simplify right side
    5,178.59x = 14,696,523.40
  5. Step 5: Solve for x
    x = 14,696,523.40/5,178.59
  6. Step 6: Final answer
    x = 2,837.94

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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.