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Finding the Fourth Proportional to 6,551.70, 9,819.15 and 3,219.14

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Solution

The fourth proportional to 6,551.70, 9,819.15 and 3,219.14 is: 4,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.70 : 9,819.15 = 3,219.14 : x
  2. Step 2: Convert to fraction form
    6,551.70/9,819.15 = 3,219.14/x
  3. Step 3: Cross multiply
    6,551.70x = 9,819.15 × 3,219.14
  4. Step 4: Simplify right side
    6,551.70x = 31,609,231.01
  5. Step 5: Solve for x
    x = 31,609,231.01/6,551.70
  6. Step 6: Final answer
    x = 4,824.59

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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.