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Finding the Fourth Proportional to 2,611.63, 3,916.84 and 762.70

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Solution

The fourth proportional to 2,611.63, 3,916.84 and 762.70 is: 1,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.63 : 3,916.84 = 762.70 : x
  2. Step 2: Convert to fraction form
    2,611.63/3,916.84 = 762.70/x
  3. Step 3: Cross multiply
    2,611.63x = 3,916.84 × 762.70
  4. Step 4: Simplify right side
    2,611.63x = 2,987,373.87
  5. Step 5: Solve for x
    x = 2,987,373.87/2,611.63
  6. Step 6: Final answer
    x = 1,143.87

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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.