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Finding the Fourth Proportional to 2,893.52, 4,340.28 and 945.71

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Solution

The fourth proportional to 2,893.52, 4,340.28 and 945.71 is: 1,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.52 : 4,340.28 = 945.71 : x
  2. Step 2: Convert to fraction form
    2,893.52/4,340.28 = 945.71/x
  3. Step 3: Cross multiply
    2,893.52x = 4,340.28 × 945.71
  4. Step 4: Simplify right side
    2,893.52x = 4,104,644.32
  5. Step 5: Solve for x
    x = 4,104,644.32/2,893.52
  6. Step 6: Final answer
    x = 1,418.56

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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.