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Finding the Fourth Proportional to 7,121.76, 9,834.58 and 4,608.21

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Solution

The fourth proportional to 7,121.76, 9,834.58 and 4,608.21 is: 6,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.76 : 9,834.58 = 4,608.21 : x
  2. Step 2: Convert to fraction form
    7,121.76/9,834.58 = 4,608.21/x
  3. Step 3: Cross multiply
    7,121.76x = 9,834.58 × 4,608.21
  4. Step 4: Simplify right side
    7,121.76x = 45,319,766.43
  5. Step 5: Solve for x
    x = 45,319,766.43/7,121.76
  6. Step 6: Final answer
    x = 6,363.56

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1.5x scale

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.