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Finding the Fourth Proportional to 27,864.96, 41,801.36 and 8,145

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Solution

The fourth proportional to 27,864.96, 41,801.36 and 8,145 is: 12,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864.96 : 41,801.36 = 8,145 : x
  2. Step 2: Convert to fraction form
    27,864.96/41,801.36 = 8,145/x
  3. Step 3: Cross multiply
    27,864.96x = 41,801.36 × 8,145
  4. Step 4: Simplify right side
    27,864.96x = 340,472,077.20
  5. Step 5: Solve for x
    x = 340,472,077.20/27,864.96
  6. Step 6: Final answer
    x = 12,218.65

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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.