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Finding the Fourth Proportional to 2,568.68, 3,853.64 and 837.32

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Solution

The fourth proportional to 2,568.68, 3,853.64 and 837.32 is: 1,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.68 : 3,853.64 = 837.32 : x
  2. Step 2: Convert to fraction form
    2,568.68/3,853.64 = 837.32/x
  3. Step 3: Cross multiply
    2,568.68x = 3,853.64 × 837.32
  4. Step 4: Simplify right side
    2,568.68x = 3,226,729.84
  5. Step 5: Solve for x
    x = 3,226,729.84/2,568.68
  6. Step 6: Final answer
    x = 1,256.18

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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.