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Finding the Fourth Proportional to 2,891.96, 4,338.85 and 943.71

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Solution

The fourth proportional to 2,891.96, 4,338.85 and 943.71 is: 1,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.96 : 4,338.85 = 943.71 : x
  2. Step 2: Convert to fraction form
    2,891.96/4,338.85 = 943.71/x
  3. Step 3: Cross multiply
    2,891.96x = 4,338.85 × 943.71
  4. Step 4: Simplify right side
    2,891.96x = 4,094,592.08
  5. Step 5: Solve for x
    x = 4,094,592.08/2,891.96
  6. Step 6: Final answer
    x = 1,415.85

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1.5x scale

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.