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Finding the Fourth Proportional to 4,569, 6,306.40 and 2,979.61

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Solution

The fourth proportional to 4,569, 6,306.40 and 2,979.61 is: 4,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569 : 6,306.40 = 2,979.61 : x
  2. Step 2: Convert to fraction form
    4,569/6,306.40 = 2,979.61/x
  3. Step 3: Cross multiply
    4,569x = 6,306.40 × 2,979.61
  4. Step 4: Simplify right side
    4,569x = 18,790,624.11
  5. Step 5: Solve for x
    x = 18,790,624.11/4,569
  6. Step 6: Final answer
    x = 4,112.63

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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.