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Finding the Fourth Proportional to 6,819.74, 9,408.17 and 4,166.65

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Solution

The fourth proportional to 6,819.74, 9,408.17 and 4,166.65 is: 5,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.74 : 9,408.17 = 4,166.65 : x
  2. Step 2: Convert to fraction form
    6,819.74/9,408.17 = 4,166.65/x
  3. Step 3: Cross multiply
    6,819.74x = 9,408.17 × 4,166.65
  4. Step 4: Simplify right side
    6,819.74x = 39,200,538.43
  5. Step 5: Solve for x
    x = 39,200,538.43/6,819.74
  6. Step 6: Final answer
    x = 5,748.10

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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.