Home / 5,200.89-7,801.32-2,082.30

Finding the Fourth Proportional to 5,200.89, 7,801.32 and 2,082.30

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Solution

The fourth proportional to 5,200.89, 7,801.32 and 2,082.30 is: 3,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.89 : 7,801.32 = 2,082.30 : x
  2. Step 2: Convert to fraction form
    5,200.89/7,801.32 = 2,082.30/x
  3. Step 3: Cross multiply
    5,200.89x = 7,801.32 × 2,082.30
  4. Step 4: Simplify right side
    5,200.89x = 16,244,688.64
  5. Step 5: Solve for x
    x = 16,244,688.64/5,200.89
  6. Step 6: Final answer
    x = 3,123.44

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1.5x scale

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.