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Finding the Fourth Proportional to 2,107.48, 3,162.84 and 954.04

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Solution

The fourth proportional to 2,107.48, 3,162.84 and 954.04 is: 1,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.48 : 3,162.84 = 954.04 : x
  2. Step 2: Convert to fraction form
    2,107.48/3,162.84 = 954.04/x
  3. Step 3: Cross multiply
    2,107.48x = 3,162.84 × 954.04
  4. Step 4: Simplify right side
    2,107.48x = 3,017,475.87
  5. Step 5: Solve for x
    x = 3,017,475.87/2,107.48
  6. Step 6: Final answer
    x = 1,431.79

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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.