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Finding the Fourth Proportional to 3,494.16, 5,240.16 and 1,272.74

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Solution

The fourth proportional to 3,494.16, 5,240.16 and 1,272.74 is: 1,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.16 : 5,240.16 = 1,272.74 : x
  2. Step 2: Convert to fraction form
    3,494.16/5,240.16 = 1,272.74/x
  3. Step 3: Cross multiply
    3,494.16x = 5,240.16 × 1,272.74
  4. Step 4: Simplify right side
    3,494.16x = 6,669,335.04
  5. Step 5: Solve for x
    x = 6,669,335.04/3,494.16
  6. Step 6: Final answer
    x = 1,908.71

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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.