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Finding the Fourth Proportional to 2,837.26, 4,256.11 and 785.26

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Solution

The fourth proportional to 2,837.26, 4,256.11 and 785.26 is: 1,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.26 : 4,256.11 = 785.26 : x
  2. Step 2: Convert to fraction form
    2,837.26/4,256.11 = 785.26/x
  3. Step 3: Cross multiply
    2,837.26x = 4,256.11 × 785.26
  4. Step 4: Simplify right side
    2,837.26x = 3,342,152.94
  5. Step 5: Solve for x
    x = 3,342,152.94/2,837.26
  6. Step 6: Final answer
    x = 1,177.95

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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.