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Finding the Fourth Proportional to 7,879, 10,874.10 and 4,567

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Solution

The fourth proportional to 7,879, 10,874.10 and 4,567 is: 6,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879 : 10,874.10 = 4,567 : x
  2. Step 2: Convert to fraction form
    7,879/10,874.10 = 4,567/x
  3. Step 3: Cross multiply
    7,879x = 10,874.10 × 4,567
  4. Step 4: Simplify right side
    7,879x = 49,662,014.70
  5. Step 5: Solve for x
    x = 49,662,014.70/7,879
  6. Step 6: Final answer
    x = 6,303.09

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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.