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Finding the Fourth Proportional to 5,620.78, 7,757.14 and 3,103.14

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Solution

The fourth proportional to 5,620.78, 7,757.14 and 3,103.14 is: 4,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.78 : 7,757.14 = 3,103.14 : x
  2. Step 2: Convert to fraction form
    5,620.78/7,757.14 = 3,103.14/x
  3. Step 3: Cross multiply
    5,620.78x = 7,757.14 × 3,103.14
  4. Step 4: Simplify right side
    5,620.78x = 24,071,491.42
  5. Step 5: Solve for x
    x = 24,071,491.42/5,620.78
  6. Step 6: Final answer
    x = 4,282.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.