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Finding the Fourth Proportional to 2,107.64, 3,162.43 and 875.33

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Solution

The fourth proportional to 2,107.64, 3,162.43 and 875.33 is: 1,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.64 : 3,162.43 = 875.33 : x
  2. Step 2: Convert to fraction form
    2,107.64/3,162.43 = 875.33/x
  3. Step 3: Cross multiply
    2,107.64x = 3,162.43 × 875.33
  4. Step 4: Simplify right side
    2,107.64x = 2,768,167.66
  5. Step 5: Solve for x
    x = 2,768,167.66/2,107.64
  6. Step 6: Final answer
    x = 1,313.39

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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.