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Finding the Fourth Proportional to 2,107.25, 3,161.28 and 953

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Solution

The fourth proportional to 2,107.25, 3,161.28 and 953 is: 1,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.25 : 3,161.28 = 953 : x
  2. Step 2: Convert to fraction form
    2,107.25/3,161.28 = 953/x
  3. Step 3: Cross multiply
    2,107.25x = 3,161.28 × 953
  4. Step 4: Simplify right side
    2,107.25x = 3,012,699.84
  5. Step 5: Solve for x
    x = 3,012,699.84/2,107.25
  6. Step 6: Final answer
    x = 1,429.68

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Double scale
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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.