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Finding the Fourth Proportional to 27,759, 41,645.70 and 9,989.04

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Solution

The fourth proportional to 27,759, 41,645.70 and 9,989.04 is: 14,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,759 : 41,645.70 = 9,989.04 : x
  2. Step 2: Convert to fraction form
    27,759/41,645.70 = 9,989.04/x
  3. Step 3: Cross multiply
    27,759x = 41,645.70 × 9,989.04
  4. Step 4: Simplify right side
    27,759x = 416,000,563.13
  5. Step 5: Solve for x
    x = 416,000,563.13/27,759
  6. Step 6: Final answer
    x = 14,986.15

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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.