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Finding the Fourth Proportional to 2,304.91, 3,455.43 and 919.27

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Solution

The fourth proportional to 2,304.91, 3,455.43 and 919.27 is: 1,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.91 : 3,455.43 = 919.27 : x
  2. Step 2: Convert to fraction form
    2,304.91/3,455.43 = 919.27/x
  3. Step 3: Cross multiply
    2,304.91x = 3,455.43 × 919.27
  4. Step 4: Simplify right side
    2,304.91x = 3,176,473.14
  5. Step 5: Solve for x
    x = 3,176,473.14/2,304.91
  6. Step 6: Final answer
    x = 1,378.13

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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.