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Finding the Fourth Proportional to 2,568.57, 3,852.87 and 837.20

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Solution

The fourth proportional to 2,568.57, 3,852.87 and 837.20 is: 1,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.57 : 3,852.87 = 837.20 : x
  2. Step 2: Convert to fraction form
    2,568.57/3,852.87 = 837.20/x
  3. Step 3: Cross multiply
    2,568.57x = 3,852.87 × 837.20
  4. Step 4: Simplify right side
    2,568.57x = 3,225,603.50
  5. Step 5: Solve for x
    x = 3,225,603.50/2,568.57
  6. Step 6: Final answer
    x = 1,255.80

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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.