Home / 5,178.78-7,769.34-1,716

Finding the Fourth Proportional to 5,178.78, 7,769.34 and 1,716

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Solution

The fourth proportional to 5,178.78, 7,769.34 and 1,716 is: 2,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.78 : 7,769.34 = 1,716 : x
  2. Step 2: Convert to fraction form
    5,178.78/7,769.34 = 1,716/x
  3. Step 3: Cross multiply
    5,178.78x = 7,769.34 × 1,716
  4. Step 4: Simplify right side
    5,178.78x = 13,332,187.44
  5. Step 5: Solve for x
    x = 13,332,187.44/5,178.78
  6. Step 6: Final answer
    x = 2,574.39

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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.