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Finding the Fourth Proportional to 3,274.56, 4,910.40 and 1,543.68

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Solution

The fourth proportional to 3,274.56, 4,910.40 and 1,543.68 is: 2,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.56 : 4,910.40 = 1,543.68 : x
  2. Step 2: Convert to fraction form
    3,274.56/4,910.40 = 1,543.68/x
  3. Step 3: Cross multiply
    3,274.56x = 4,910.40 × 1,543.68
  4. Step 4: Simplify right side
    3,274.56x = 7,580,086.27
  5. Step 5: Solve for x
    x = 7,580,086.27/3,274.56
  6. Step 6: Final answer
    x = 2,314.84

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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.