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Finding the Fourth Proportional to 27,999.75, 42,002.07 and 7,223.25

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Solution

The fourth proportional to 27,999.75, 42,002.07 and 7,223.25 is: 10,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999.75 : 42,002.07 = 7,223.25 : x
  2. Step 2: Convert to fraction form
    27,999.75/42,002.07 = 7,223.25/x
  3. Step 3: Cross multiply
    27,999.75x = 42,002.07 × 7,223.25
  4. Step 4: Simplify right side
    27,999.75x = 303,391,452.13
  5. Step 5: Solve for x
    x = 303,391,452.13/27,999.75
  6. Step 6: Final answer
    x = 10,835.51

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1.5x scale

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.