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Finding the Fourth Proportional to 6,493.78, 9,738.24 and 5,123.26

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Solution

The fourth proportional to 6,493.78, 9,738.24 and 5,123.26 is: 7,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.78 : 9,738.24 = 5,123.26 : x
  2. Step 2: Convert to fraction form
    6,493.78/9,738.24 = 5,123.26/x
  3. Step 3: Cross multiply
    6,493.78x = 9,738.24 × 5,123.26
  4. Step 4: Simplify right side
    6,493.78x = 49,891,491.90
  5. Step 5: Solve for x
    x = 49,891,491.90/6,493.78
  6. Step 6: Final answer
    x = 7,682.97

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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.