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Finding the Fourth Proportional to 2,094.50, 2,890.42 and 1,163

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Solution

The fourth proportional to 2,094.50, 2,890.42 and 1,163 is: 1,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.50 : 2,890.42 = 1,163 : x
  2. Step 2: Convert to fraction form
    2,094.50/2,890.42 = 1,163/x
  3. Step 3: Cross multiply
    2,094.50x = 2,890.42 × 1,163
  4. Step 4: Simplify right side
    2,094.50x = 3,361,558.46
  5. Step 5: Solve for x
    x = 3,361,558.46/2,094.50
  6. Step 6: Final answer
    x = 1,604.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.