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Finding the Fourth Proportional to 3,172.60, 4,764.30 and 2,254.60

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Solution

The fourth proportional to 3,172.60, 4,764.30 and 2,254.60 is: 3,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.60 : 4,764.30 = 2,254.60 : x
  2. Step 2: Convert to fraction form
    3,172.60/4,764.30 = 2,254.60/x
  3. Step 3: Cross multiply
    3,172.60x = 4,764.30 × 2,254.60
  4. Step 4: Simplify right side
    3,172.60x = 10,741,590.78
  5. Step 5: Solve for x
    x = 10,741,590.78/3,172.60
  6. Step 6: Final answer
    x = 3,385.74

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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.