Home / 5,121.75-7,683.84-1,659

Finding the Fourth Proportional to 5,121.75, 7,683.84 and 1,659

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Solution

The fourth proportional to 5,121.75, 7,683.84 and 1,659 is: 2,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.75 : 7,683.84 = 1,659 : x
  2. Step 2: Convert to fraction form
    5,121.75/7,683.84 = 1,659/x
  3. Step 3: Cross multiply
    5,121.75x = 7,683.84 × 1,659
  4. Step 4: Simplify right side
    5,121.75x = 12,747,490.56
  5. Step 5: Solve for x
    x = 12,747,490.56/5,121.75
  6. Step 6: Final answer
    x = 2,488.89

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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.