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Finding the Fourth Proportional to 2,891.67, 4,337.64 and 943.70

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Solution

The fourth proportional to 2,891.67, 4,337.64 and 943.70 is: 1,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.67 : 4,337.64 = 943.70 : x
  2. Step 2: Convert to fraction form
    2,891.67/4,337.64 = 943.70/x
  3. Step 3: Cross multiply
    2,891.67x = 4,337.64 × 943.70
  4. Step 4: Simplify right side
    2,891.67x = 4,093,430.87
  5. Step 5: Solve for x
    x = 4,093,430.87/2,891.67
  6. Step 6: Final answer
    x = 1,415.59

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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.