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Finding the Fourth Proportional to 2,615, 3,922.82 and 1,154

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Solution

The fourth proportional to 2,615, 3,922.82 and 1,154 is: 1,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615 : 3,922.82 = 1,154 : x
  2. Step 2: Convert to fraction form
    2,615/3,922.82 = 1,154/x
  3. Step 3: Cross multiply
    2,615x = 3,922.82 × 1,154
  4. Step 4: Simplify right side
    2,615x = 4,526,934.28
  5. Step 5: Solve for x
    x = 4,526,934.28/2,615
  6. Step 6: Final answer
    x = 1,731.14

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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.