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Finding the Fourth Proportional to 2,336.25, 3,505.38 and 875.22

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Solution

The fourth proportional to 2,336.25, 3,505.38 and 875.22 is: 1,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.25 : 3,505.38 = 875.22 : x
  2. Step 2: Convert to fraction form
    2,336.25/3,505.38 = 875.22/x
  3. Step 3: Cross multiply
    2,336.25x = 3,505.38 × 875.22
  4. Step 4: Simplify right side
    2,336.25x = 3,067,978.68
  5. Step 5: Solve for x
    x = 3,067,978.68/2,336.25
  6. Step 6: Final answer
    x = 1,313.21

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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.