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Finding the Fourth Proportional to 7,706.65, 11,560.79 and 2,511.31

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Solution

The fourth proportional to 7,706.65, 11,560.79 and 2,511.31 is: 3,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.65 : 11,560.79 = 2,511.31 : x
  2. Step 2: Convert to fraction form
    7,706.65/11,560.79 = 2,511.31/x
  3. Step 3: Cross multiply
    7,706.65x = 11,560.79 × 2,511.31
  4. Step 4: Simplify right side
    7,706.65x = 29,032,727.53
  5. Step 5: Solve for x
    x = 29,032,727.53/7,706.65
  6. Step 6: Final answer
    x = 3,767.23

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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.