Home / 5,177.98-7,760.49-4,078

Finding the Fourth Proportional to 5,177.98, 7,760.49 and 4,078

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Solution

The fourth proportional to 5,177.98, 7,760.49 and 4,078 is: 6,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.98 : 7,760.49 = 4,078 : x
  2. Step 2: Convert to fraction form
    5,177.98/7,760.49 = 4,078/x
  3. Step 3: Cross multiply
    5,177.98x = 7,760.49 × 4,078
  4. Step 4: Simplify right side
    5,177.98x = 31,647,257.83
  5. Step 5: Solve for x
    x = 31,647,257.83/5,177.98
  6. Step 6: Final answer
    x = 6,111.89

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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.