Home / 5,192.20-7,782.54-2,071

Finding the Fourth Proportional to 5,192.20, 7,782.54 and 2,071

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Solution

The fourth proportional to 5,192.20, 7,782.54 and 2,071 is: 3,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.20 : 7,782.54 = 2,071 : x
  2. Step 2: Convert to fraction form
    5,192.20/7,782.54 = 2,071/x
  3. Step 3: Cross multiply
    5,192.20x = 7,782.54 × 2,071
  4. Step 4: Simplify right side
    5,192.20x = 16,117,640.34
  5. Step 5: Solve for x
    x = 16,117,640.34/5,192.20
  6. Step 6: Final answer
    x = 3,104.20

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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.