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Finding the Fourth Proportional to 27,288.20, 40,918.86 and 8,817.80

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Solution

The fourth proportional to 27,288.20, 40,918.86 and 8,817.80 is: 13,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,288.20 : 40,918.86 = 8,817.80 : x
  2. Step 2: Convert to fraction form
    27,288.20/40,918.86 = 8,817.80/x
  3. Step 3: Cross multiply
    27,288.20x = 40,918.86 × 8,817.80
  4. Step 4: Simplify right side
    27,288.20x = 360,814,323.71
  5. Step 5: Solve for x
    x = 360,814,323.71/27,288.20
  6. Step 6: Final answer
    x = 13,222.36

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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.