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Finding the Fourth Proportional to 7,841.68, 10,821.92 and 4,859.12

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Solution

The fourth proportional to 7,841.68, 10,821.92 and 4,859.12 is: 6,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.68 : 10,821.92 = 4,859.12 : x
  2. Step 2: Convert to fraction form
    7,841.68/10,821.92 = 4,859.12/x
  3. Step 3: Cross multiply
    7,841.68x = 10,821.92 × 4,859.12
  4. Step 4: Simplify right side
    7,841.68x = 52,585,007.91
  5. Step 5: Solve for x
    x = 52,585,007.91/7,841.68
  6. Step 6: Final answer
    x = 6,705.83

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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.