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Finding the Fourth Proportional to 2,893.06, 4,339.86 and 945.46

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Solution

The fourth proportional to 2,893.06, 4,339.86 and 945.46 is: 1,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.06 : 4,339.86 = 945.46 : x
  2. Step 2: Convert to fraction form
    2,893.06/4,339.86 = 945.46/x
  3. Step 3: Cross multiply
    2,893.06x = 4,339.86 × 945.46
  4. Step 4: Simplify right side
    2,893.06x = 4,103,164.04
  5. Step 5: Solve for x
    x = 4,103,164.04/2,893.06
  6. Step 6: Final answer
    x = 1,418.28

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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.