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Finding the Fourth Proportional to 36,015, 54,022.74 and 11,391

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Solution

The fourth proportional to 36,015, 54,022.74 and 11,391 is: 17,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,015 : 54,022.74 = 11,391 : x
  2. Step 2: Convert to fraction form
    36,015/54,022.74 = 11,391/x
  3. Step 3: Cross multiply
    36,015x = 54,022.74 × 11,391
  4. Step 4: Simplify right side
    36,015x = 615,373,031.34
  5. Step 5: Solve for x
    x = 615,373,031.34/36,015
  6. Step 6: Final answer
    x = 17,086.58

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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.