Home / 2,492.12-3,728.10-2,082.08

Finding the Fourth Proportional to 2,492.12, 3,728.10 and 2,082.08

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Solution

The fourth proportional to 2,492.12, 3,728.10 and 2,082.08 is: 3,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.12 : 3,728.10 = 2,082.08 : x
  2. Step 2: Convert to fraction form
    2,492.12/3,728.10 = 2,082.08/x
  3. Step 3: Cross multiply
    2,492.12x = 3,728.10 × 2,082.08
  4. Step 4: Simplify right side
    2,492.12x = 7,762,202.45
  5. Step 5: Solve for x
    x = 7,762,202.45/2,492.12
  6. Step 6: Final answer
    x = 3,114.70

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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.