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Finding the Fourth Proportional to 27,219.88, 40,835.64 and 9,451.09

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Solution

The fourth proportional to 27,219.88, 40,835.64 and 9,451.09 is: 14,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,219.88 : 40,835.64 = 9,451.09 : x
  2. Step 2: Convert to fraction form
    27,219.88/40,835.64 = 9,451.09/x
  3. Step 3: Cross multiply
    27,219.88x = 40,835.64 × 9,451.09
  4. Step 4: Simplify right side
    27,219.88x = 385,941,395.33
  5. Step 5: Solve for x
    x = 385,941,395.33/27,219.88
  6. Step 6: Final answer
    x = 14,178.66

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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.