Home / 5,200.20-7,803.14-1,912.82

Finding the Fourth Proportional to 5,200.20, 7,803.14 and 1,912.82

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Solution

The fourth proportional to 5,200.20, 7,803.14 and 1,912.82 is: 2,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.20 : 7,803.14 = 1,912.82 : x
  2. Step 2: Convert to fraction form
    5,200.20/7,803.14 = 1,912.82/x
  3. Step 3: Cross multiply
    5,200.20x = 7,803.14 × 1,912.82
  4. Step 4: Simplify right side
    5,200.20x = 14,925,953.68
  5. Step 5: Solve for x
    x = 14,925,953.68/5,200.20
  6. Step 6: Final answer
    x = 2,870.27

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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.