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Finding the Fourth Proportional to 11,221.96, 15,465 and 8,072.68

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Solution

The fourth proportional to 11,221.96, 15,465 and 8,072.68 is: 11,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.96 : 15,465 = 8,072.68 : x
  2. Step 2: Convert to fraction form
    11,221.96/15,465 = 8,072.68/x
  3. Step 3: Cross multiply
    11,221.96x = 15,465 × 8,072.68
  4. Step 4: Simplify right side
    11,221.96x = 124,843,996.20
  5. Step 5: Solve for x
    x = 124,843,996.20/11,221.96
  6. Step 6: Final answer
    x = 11,124.97

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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.