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Finding the Fourth Proportional to 27,862.20, 41,796 and 8,140.32

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Solution

The fourth proportional to 27,862.20, 41,796 and 8,140.32 is: 12,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.20 : 41,796 = 8,140.32 : x
  2. Step 2: Convert to fraction form
    27,862.20/41,796 = 8,140.32/x
  3. Step 3: Cross multiply
    27,862.20x = 41,796 × 8,140.32
  4. Step 4: Simplify right side
    27,862.20x = 340,232,814.72
  5. Step 5: Solve for x
    x = 340,232,814.72/27,862.20
  6. Step 6: Final answer
    x = 12,211.27

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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.