Home / 5,102.72-7,654.08-2,024

Finding the Fourth Proportional to 5,102.72, 7,654.08 and 2,024

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Solution

The fourth proportional to 5,102.72, 7,654.08 and 2,024 is: 3,036

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.72 : 7,654.08 = 2,024 : x
  2. Step 2: Convert to fraction form
    5,102.72/7,654.08 = 2,024/x
  3. Step 3: Cross multiply
    5,102.72x = 7,654.08 × 2,024
  4. Step 4: Simplify right side
    5,102.72x = 15,491,857.92
  5. Step 5: Solve for x
    x = 15,491,857.92/5,102.72
  6. Step 6: Final answer
    x = 3,036

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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.