Home / 5,209.50-7,815.34-2,131.50

Finding the Fourth Proportional to 5,209.50, 7,815.34 and 2,131.50

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Solution

The fourth proportional to 5,209.50, 7,815.34 and 2,131.50 is: 3,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.50 : 7,815.34 = 2,131.50 : x
  2. Step 2: Convert to fraction form
    5,209.50/7,815.34 = 2,131.50/x
  3. Step 3: Cross multiply
    5,209.50x = 7,815.34 × 2,131.50
  4. Step 4: Simplify right side
    5,209.50x = 16,658,397.21
  5. Step 5: Solve for x
    x = 16,658,397.21/5,209.50
  6. Step 6: Final answer
    x = 3,197.70

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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.