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Finding the Fourth Proportional to 7,876.55, 11,814.15 and 2,611.01

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Solution

The fourth proportional to 7,876.55, 11,814.15 and 2,611.01 is: 3,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.55 : 11,814.15 = 2,611.01 : x
  2. Step 2: Convert to fraction form
    7,876.55/11,814.15 = 2,611.01/x
  3. Step 3: Cross multiply
    7,876.55x = 11,814.15 × 2,611.01
  4. Step 4: Simplify right side
    7,876.55x = 30,846,863.79
  5. Step 5: Solve for x
    x = 30,846,863.79/7,876.55
  6. Step 6: Final answer
    x = 3,916.29

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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.