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Finding the Fourth Proportional to 7,790, 11,686.92 and 2,318

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Solution

The fourth proportional to 7,790, 11,686.92 and 2,318 is: 3,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790 : 11,686.92 = 2,318 : x
  2. Step 2: Convert to fraction form
    7,790/11,686.92 = 2,318/x
  3. Step 3: Cross multiply
    7,790x = 11,686.92 × 2,318
  4. Step 4: Simplify right side
    7,790x = 27,090,280.56
  5. Step 5: Solve for x
    x = 27,090,280.56/7,790
  6. Step 6: Final answer
    x = 3,477.57

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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.