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Finding the Fourth Proportional to 3,311.68, 4,570.14 and 1,819.72

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Solution

The fourth proportional to 3,311.68, 4,570.14 and 1,819.72 is: 2,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.68 : 4,570.14 = 1,819.72 : x
  2. Step 2: Convert to fraction form
    3,311.68/4,570.14 = 1,819.72/x
  3. Step 3: Cross multiply
    3,311.68x = 4,570.14 × 1,819.72
  4. Step 4: Simplify right side
    3,311.68x = 8,316,375.16
  5. Step 5: Solve for x
    x = 8,316,375.16/3,311.68
  6. Step 6: Final answer
    x = 2,511.23

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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.