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Finding the Fourth Proportional to 4,782.67, 6,600 and 2,919.67

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Solution

The fourth proportional to 4,782.67, 6,600 and 2,919.67 is: 4,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.67 : 6,600 = 2,919.67 : x
  2. Step 2: Convert to fraction form
    4,782.67/6,600 = 2,919.67/x
  3. Step 3: Cross multiply
    4,782.67x = 6,600 × 2,919.67
  4. Step 4: Simplify right side
    4,782.67x = 19,269,822
  5. Step 5: Solve for x
    x = 19,269,822/4,782.67
  6. Step 6: Final answer
    x = 4,029.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.