Home / 5,200.16-7,800.24-2,120

Finding the Fourth Proportional to 5,200.16, 7,800.24 and 2,120

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Solution

The fourth proportional to 5,200.16, 7,800.24 and 2,120 is: 3,180

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.16 : 7,800.24 = 2,120 : x
  2. Step 2: Convert to fraction form
    5,200.16/7,800.24 = 2,120/x
  3. Step 3: Cross multiply
    5,200.16x = 7,800.24 × 2,120
  4. Step 4: Simplify right side
    5,200.16x = 16,536,508.80
  5. Step 5: Solve for x
    x = 16,536,508.80/5,200.16
  6. Step 6: Final answer
    x = 3,180

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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.