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Finding the Fourth Proportional to 27,198.84, 40,798.30 and 7,479.48

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Solution

The fourth proportional to 27,198.84, 40,798.30 and 7,479.48 is: 11,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198.84 : 40,798.30 = 7,479.48 : x
  2. Step 2: Convert to fraction form
    27,198.84/40,798.30 = 7,479.48/x
  3. Step 3: Cross multiply
    27,198.84x = 40,798.30 × 7,479.48
  4. Step 4: Simplify right side
    27,198.84x = 305,150,068.88
  5. Step 5: Solve for x
    x = 305,150,068.88/27,198.84
  6. Step 6: Final answer
    x = 11,219.23

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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.