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Finding the Fourth Proportional to 27,036, 40,555.84 and 8,314.88

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Solution

The fourth proportional to 27,036, 40,555.84 and 8,314.88 is: 12,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,036 : 40,555.84 = 8,314.88 : x
  2. Step 2: Convert to fraction form
    27,036/40,555.84 = 8,314.88/x
  3. Step 3: Cross multiply
    27,036x = 40,555.84 × 8,314.88
  4. Step 4: Simplify right side
    27,036x = 337,216,942.90
  5. Step 5: Solve for x
    x = 337,216,942.90/27,036
  6. Step 6: Final answer
    x = 12,472.89

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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.