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Finding the Fourth Proportional to 11,328.36, 15,633.72 and 8,529

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Solution

The fourth proportional to 11,328.36, 15,633.72 and 8,529 is: 11,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.36 : 15,633.72 = 8,529 : x
  2. Step 2: Convert to fraction form
    11,328.36/15,633.72 = 8,529/x
  3. Step 3: Cross multiply
    11,328.36x = 15,633.72 × 8,529
  4. Step 4: Simplify right side
    11,328.36x = 133,339,997.88
  5. Step 5: Solve for x
    x = 133,339,997.88/11,328.36
  6. Step 6: Final answer
    x = 11,770.46

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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.