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Finding the Fourth Proportional to 27,580.88, 41,373.76 and 7,859

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Solution

The fourth proportional to 27,580.88, 41,373.76 and 7,859 is: 11,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.88 : 41,373.76 = 7,859 : x
  2. Step 2: Convert to fraction form
    27,580.88/41,373.76 = 7,859/x
  3. Step 3: Cross multiply
    27,580.88x = 41,373.76 × 7,859
  4. Step 4: Simplify right side
    27,580.88x = 325,156,379.84
  5. Step 5: Solve for x
    x = 325,156,379.84/27,580.88
  6. Step 6: Final answer
    x = 11,789.20

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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.