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Finding the Fourth Proportional to 2,893.05, 4,339.17 and 945

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Solution

The fourth proportional to 2,893.05, 4,339.17 and 945 is: 1,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.05 : 4,339.17 = 945 : x
  2. Step 2: Convert to fraction form
    2,893.05/4,339.17 = 945/x
  3. Step 3: Cross multiply
    2,893.05x = 4,339.17 × 945
  4. Step 4: Simplify right side
    2,893.05x = 4,100,515.65
  5. Step 5: Solve for x
    x = 4,100,515.65/2,893.05
  6. Step 6: Final answer
    x = 1,417.37

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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.