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Finding the Fourth Proportional to 2,293, 3,439.66 and 906.26

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Solution

The fourth proportional to 2,293, 3,439.66 and 906.26 is: 1,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293 : 3,439.66 = 906.26 : x
  2. Step 2: Convert to fraction form
    2,293/3,439.66 = 906.26/x
  3. Step 3: Cross multiply
    2,293x = 3,439.66 × 906.26
  4. Step 4: Simplify right side
    2,293x = 3,117,226.27
  5. Step 5: Solve for x
    x = 3,117,226.27/2,293
  6. Step 6: Final answer
    x = 1,359.45

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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.