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Finding the Fourth Proportional to 2,891.26, 4,337.48 and 942.94

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Solution

The fourth proportional to 2,891.26, 4,337.48 and 942.94 is: 1,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.26 : 4,337.48 = 942.94 : x
  2. Step 2: Convert to fraction form
    2,891.26/4,337.48 = 942.94/x
  3. Step 3: Cross multiply
    2,891.26x = 4,337.48 × 942.94
  4. Step 4: Simplify right side
    2,891.26x = 4,089,983.39
  5. Step 5: Solve for x
    x = 4,089,983.39/2,891.26
  6. Step 6: Final answer
    x = 1,414.60

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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.