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Finding the Fourth Proportional to 7,841.22, 10,819.20 and 4,654.41

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Solution

The fourth proportional to 7,841.22, 10,819.20 and 4,654.41 is: 6,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.22 : 10,819.20 = 4,654.41 : x
  2. Step 2: Convert to fraction form
    7,841.22/10,819.20 = 4,654.41/x
  3. Step 3: Cross multiply
    7,841.22x = 10,819.20 × 4,654.41
  4. Step 4: Simplify right side
    7,841.22x = 50,356,992.67
  5. Step 5: Solve for x
    x = 50,356,992.67/7,841.22
  6. Step 6: Final answer
    x = 6,422.09

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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.