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Finding the Fourth Proportional to 2,852.76, 3,937.20 and 1,674.22

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Solution

The fourth proportional to 2,852.76, 3,937.20 and 1,674.22 is: 2,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.76 : 3,937.20 = 1,674.22 : x
  2. Step 2: Convert to fraction form
    2,852.76/3,937.20 = 1,674.22/x
  3. Step 3: Cross multiply
    2,852.76x = 3,937.20 × 1,674.22
  4. Step 4: Simplify right side
    2,852.76x = 6,591,738.98
  5. Step 5: Solve for x
    x = 6,591,738.98/2,852.76
  6. Step 6: Final answer
    x = 2,310.65

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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.