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Finding the Fourth Proportional to 27,405, 41,108.85 and 8,937

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Solution

The fourth proportional to 27,405, 41,108.85 and 8,937 is: 13,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405 : 41,108.85 = 8,937 : x
  2. Step 2: Convert to fraction form
    27,405/41,108.85 = 8,937/x
  3. Step 3: Cross multiply
    27,405x = 41,108.85 × 8,937
  4. Step 4: Simplify right side
    27,405x = 367,389,792.45
  5. Step 5: Solve for x
    x = 367,389,792.45/27,405
  6. Step 6: Final answer
    x = 13,405.94

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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.