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Finding the Fourth Proportional to 8,179, 11,288.49 and 4,821.61

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Solution

The fourth proportional to 8,179, 11,288.49 and 4,821.61 is: 6,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179 : 11,288.49 = 4,821.61 : x
  2. Step 2: Convert to fraction form
    8,179/11,288.49 = 4,821.61/x
  3. Step 3: Cross multiply
    8,179x = 11,288.49 × 4,821.61
  4. Step 4: Simplify right side
    8,179x = 54,428,696.27
  5. Step 5: Solve for x
    x = 54,428,696.27/8,179
  6. Step 6: Final answer
    x = 6,654.69

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1.5x scale

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.