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Finding the Fourth Proportional to 4,297.72, 6,446.58 and 1,219.72

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Solution

The fourth proportional to 4,297.72, 6,446.58 and 1,219.72 is: 1,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.72 : 6,446.58 = 1,219.72 : x
  2. Step 2: Convert to fraction form
    4,297.72/6,446.58 = 1,219.72/x
  3. Step 3: Cross multiply
    4,297.72x = 6,446.58 × 1,219.72
  4. Step 4: Simplify right side
    4,297.72x = 7,863,022.56
  5. Step 5: Solve for x
    x = 7,863,022.56/4,297.72
  6. Step 6: Final answer
    x = 1,829.58

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Similar ratio
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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.