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Finding the Fourth Proportional to 8,218, 11,340.84 and 4,492

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Solution

The fourth proportional to 8,218, 11,340.84 and 4,492 is: 6,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218 : 11,340.84 = 4,492 : x
  2. Step 2: Convert to fraction form
    8,218/11,340.84 = 4,492/x
  3. Step 3: Cross multiply
    8,218x = 11,340.84 × 4,492
  4. Step 4: Simplify right side
    8,218x = 50,943,053.28
  5. Step 5: Solve for x
    x = 50,943,053.28/8,218
  6. Step 6: Final answer
    x = 6,198.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.