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Finding the Fourth Proportional to 7,787.94, 11,661.04 and 4,082.34

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Solution

The fourth proportional to 7,787.94, 11,661.04 and 4,082.34 is: 6,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.94 : 11,661.04 = 4,082.34 : x
  2. Step 2: Convert to fraction form
    7,787.94/11,661.04 = 4,082.34/x
  3. Step 3: Cross multiply
    7,787.94x = 11,661.04 × 4,082.34
  4. Step 4: Simplify right side
    7,787.94x = 47,604,330.03
  5. Step 5: Solve for x
    x = 47,604,330.03/7,787.94
  6. Step 6: Final answer
    x = 6,112.57

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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.