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Finding the Fourth Proportional to 7,846, 11,768.70 and 3,164.56

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Solution

The fourth proportional to 7,846, 11,768.70 and 3,164.56 is: 4,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846 : 11,768.70 = 3,164.56 : x
  2. Step 2: Convert to fraction form
    7,846/11,768.70 = 3,164.56/x
  3. Step 3: Cross multiply
    7,846x = 11,768.70 × 3,164.56
  4. Step 4: Simplify right side
    7,846x = 37,242,757.27
  5. Step 5: Solve for x
    x = 37,242,757.27/7,846
  6. Step 6: Final answer
    x = 4,746.72

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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.