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Finding the Fourth Proportional to 27,318.72, 40,976.23 and 9,789.11

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Solution

The fourth proportional to 27,318.72, 40,976.23 and 9,789.11 is: 14,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,318.72 : 40,976.23 = 9,789.11 : x
  2. Step 2: Convert to fraction form
    27,318.72/40,976.23 = 9,789.11/x
  3. Step 3: Cross multiply
    27,318.72x = 40,976.23 × 9,789.11
  4. Step 4: Simplify right side
    27,318.72x = 401,120,822.86
  5. Step 5: Solve for x
    x = 401,120,822.86/27,318.72
  6. Step 6: Final answer
    x = 14,683.00

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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.