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Finding the Fourth Proportional to 3,152.70, 4,351.05 and 1,826.34

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Solution

The fourth proportional to 3,152.70, 4,351.05 and 1,826.34 is: 2,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.70 : 4,351.05 = 1,826.34 : x
  2. Step 2: Convert to fraction form
    3,152.70/4,351.05 = 1,826.34/x
  3. Step 3: Cross multiply
    3,152.70x = 4,351.05 × 1,826.34
  4. Step 4: Simplify right side
    3,152.70x = 7,946,496.66
  5. Step 5: Solve for x
    x = 7,946,496.66/3,152.70
  6. Step 6: Final answer
    x = 2,520.54

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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.