Home / 5,219.14-7,830-1,521.41

Finding the Fourth Proportional to 5,219.14, 7,830 and 1,521.41

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Solution

The fourth proportional to 5,219.14, 7,830 and 1,521.41 is: 2,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.14 : 7,830 = 1,521.41 : x
  2. Step 2: Convert to fraction form
    5,219.14/7,830 = 1,521.41/x
  3. Step 3: Cross multiply
    5,219.14x = 7,830 × 1,521.41
  4. Step 4: Simplify right side
    5,219.14x = 11,912,640.30
  5. Step 5: Solve for x
    x = 11,912,640.30/5,219.14
  6. Step 6: Final answer
    x = 2,282.49

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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.