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Finding the Fourth Proportional to 7,221.69, 10,834.04 and 4,103.12

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Solution

The fourth proportional to 7,221.69, 10,834.04 and 4,103.12 is: 6,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.69 : 10,834.04 = 4,103.12 : x
  2. Step 2: Convert to fraction form
    7,221.69/10,834.04 = 4,103.12/x
  3. Step 3: Cross multiply
    7,221.69x = 10,834.04 × 4,103.12
  4. Step 4: Simplify right side
    7,221.69x = 44,453,403.55
  5. Step 5: Solve for x
    x = 44,453,403.55/7,221.69
  6. Step 6: Final answer
    x = 6,155.54

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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.