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Finding the Fourth Proportional to 10,814.78, 16,211.12 and 6,868.91

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Solution

The fourth proportional to 10,814.78, 16,211.12 and 6,868.91 is: 10,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.78 : 16,211.12 = 6,868.91 : x
  2. Step 2: Convert to fraction form
    10,814.78/16,211.12 = 6,868.91/x
  3. Step 3: Cross multiply
    10,814.78x = 16,211.12 × 6,868.91
  4. Step 4: Simplify right side
    10,814.78x = 111,352,608.88
  5. Step 5: Solve for x
    x = 111,352,608.88/10,814.78
  6. Step 6: Final answer
    x = 10,296.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.