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Finding the Fourth Proportional to 7,891.42, 11,836.01 and 3,213.47

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Solution

The fourth proportional to 7,891.42, 11,836.01 and 3,213.47 is: 4,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.42 : 11,836.01 = 3,213.47 : x
  2. Step 2: Convert to fraction form
    7,891.42/11,836.01 = 3,213.47/x
  3. Step 3: Cross multiply
    7,891.42x = 11,836.01 × 3,213.47
  4. Step 4: Simplify right side
    7,891.42x = 38,034,587.81
  5. Step 5: Solve for x
    x = 38,034,587.81/7,891.42
  6. Step 6: Final answer
    x = 4,819.74

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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.