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Finding the Fourth Proportional to 36,534, 54,768.12 and 13,144

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Solution

The fourth proportional to 36,534, 54,768.12 and 13,144 is: 19,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,534 : 54,768.12 = 13,144 : x
  2. Step 2: Convert to fraction form
    36,534/54,768.12 = 13,144/x
  3. Step 3: Cross multiply
    36,534x = 54,768.12 × 13,144
  4. Step 4: Simplify right side
    36,534x = 719,872,169.28
  5. Step 5: Solve for x
    x = 719,872,169.28/36,534
  6. Step 6: Final answer
    x = 19,704.17

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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.