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Finding the Fourth Proportional to 2,891.71, 4,338.47 and 943.46

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Solution

The fourth proportional to 2,891.71, 4,338.47 and 943.46 is: 1,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.71 : 4,338.47 = 943.46 : x
  2. Step 2: Convert to fraction form
    2,891.71/4,338.47 = 943.46/x
  3. Step 3: Cross multiply
    2,891.71x = 4,338.47 × 943.46
  4. Step 4: Simplify right side
    2,891.71x = 4,093,153.57
  5. Step 5: Solve for x
    x = 4,093,153.57/2,891.71
  6. Step 6: Final answer
    x = 1,415.48

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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.