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Finding the Fourth Proportional to 4,749.66, 7,115.33 and 2,663.33

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Solution

The fourth proportional to 4,749.66, 7,115.33 and 2,663.33 is: 3,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.66 : 7,115.33 = 2,663.33 : x
  2. Step 2: Convert to fraction form
    4,749.66/7,115.33 = 2,663.33/x
  3. Step 3: Cross multiply
    4,749.66x = 7,115.33 × 2,663.33
  4. Step 4: Simplify right side
    4,749.66x = 18,950,422.96
  5. Step 5: Solve for x
    x = 18,950,422.96/4,749.66
  6. Step 6: Final answer
    x = 3,989.85

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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.