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Finding the Fourth Proportional to 3,274.75, 4,519.08 and 1,782.71

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Solution

The fourth proportional to 3,274.75, 4,519.08 and 1,782.71 is: 2,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.75 : 4,519.08 = 1,782.71 : x
  2. Step 2: Convert to fraction form
    3,274.75/4,519.08 = 1,782.71/x
  3. Step 3: Cross multiply
    3,274.75x = 4,519.08 × 1,782.71
  4. Step 4: Simplify right side
    3,274.75x = 8,056,203.46
  5. Step 5: Solve for x
    x = 8,056,203.46/3,274.75
  6. Step 6: Final answer
    x = 2,460.10

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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.