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Finding the Fourth Proportional to 27,999.50, 42,000.06 and 7,223

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Solution

The fourth proportional to 27,999.50, 42,000.06 and 7,223 is: 10,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999.50 : 42,000.06 = 7,223 : x
  2. Step 2: Convert to fraction form
    27,999.50/42,000.06 = 7,223/x
  3. Step 3: Cross multiply
    27,999.50x = 42,000.06 × 7,223
  4. Step 4: Simplify right side
    27,999.50x = 303,366,433.38
  5. Step 5: Solve for x
    x = 303,366,433.38/27,999.50
  6. Step 6: Final answer
    x = 10,834.71

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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.