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Finding the Fourth Proportional to 5,178.79, 7,769.31 and 1,891.88

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Solution

The fourth proportional to 5,178.79, 7,769.31 and 1,891.88 is: 2,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.79 : 7,769.31 = 1,891.88 : x
  2. Step 2: Convert to fraction form
    5,178.79/7,769.31 = 1,891.88/x
  3. Step 3: Cross multiply
    5,178.79x = 7,769.31 × 1,891.88
  4. Step 4: Simplify right side
    5,178.79x = 14,698,556.26
  5. Step 5: Solve for x
    x = 14,698,556.26/5,178.79
  6. Step 6: Final answer
    x = 2,838.22

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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.