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Finding the Fourth Proportional to 11,424.56, 15,764.22 and 6,388.16

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Solution

The fourth proportional to 11,424.56, 15,764.22 and 6,388.16 is: 8,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.56 : 15,764.22 = 6,388.16 : x
  2. Step 2: Convert to fraction form
    11,424.56/15,764.22 = 6,388.16/x
  3. Step 3: Cross multiply
    11,424.56x = 15,764.22 × 6,388.16
  4. Step 4: Simplify right side
    11,424.56x = 100,704,359.64
  5. Step 5: Solve for x
    x = 100,704,359.64/11,424.56
  6. Step 6: Final answer
    x = 8,814.73

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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.