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Finding the Fourth Proportional to 10,651.62, 14,701.86 and 6,879

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Solution

The fourth proportional to 10,651.62, 14,701.86 and 6,879 is: 9,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.62 : 14,701.86 = 6,879 : x
  2. Step 2: Convert to fraction form
    10,651.62/14,701.86 = 6,879/x
  3. Step 3: Cross multiply
    10,651.62x = 14,701.86 × 6,879
  4. Step 4: Simplify right side
    10,651.62x = 101,134,094.94
  5. Step 5: Solve for x
    x = 101,134,094.94/10,651.62
  6. Step 6: Final answer
    x = 9,494.71

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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.