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Finding the Fourth Proportional to 36,378, 54,569.88 and 11,754

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Solution

The fourth proportional to 36,378, 54,569.88 and 11,754 is: 17,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,378 : 54,569.88 = 11,754 : x
  2. Step 2: Convert to fraction form
    36,378/54,569.88 = 11,754/x
  3. Step 3: Cross multiply
    36,378x = 54,569.88 × 11,754
  4. Step 4: Simplify right side
    36,378x = 641,414,369.52
  5. Step 5: Solve for x
    x = 641,414,369.52/36,378
  6. Step 6: Final answer
    x = 17,631.93

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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.