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Finding the Fourth Proportional to 2,891.30, 4,336.03 and 943.05

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Solution

The fourth proportional to 2,891.30, 4,336.03 and 943.05 is: 1,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.30 : 4,336.03 = 943.05 : x
  2. Step 2: Convert to fraction form
    2,891.30/4,336.03 = 943.05/x
  3. Step 3: Cross multiply
    2,891.30x = 4,336.03 × 943.05
  4. Step 4: Simplify right side
    2,891.30x = 4,089,093.09
  5. Step 5: Solve for x
    x = 4,089,093.09/2,891.30
  6. Step 6: Final answer
    x = 1,414.27

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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.