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Finding the Fourth Proportional to 3,138.72, 4,709.76 and 3,048.96

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Solution

The fourth proportional to 3,138.72, 4,709.76 and 3,048.96 is: 4,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.72 : 4,709.76 = 3,048.96 : x
  2. Step 2: Convert to fraction form
    3,138.72/4,709.76 = 3,048.96/x
  3. Step 3: Cross multiply
    3,138.72x = 4,709.76 × 3,048.96
  4. Step 4: Simplify right side
    3,138.72x = 14,359,869.85
  5. Step 5: Solve for x
    x = 14,359,869.85/3,138.72
  6. Step 6: Final answer
    x = 4,575.07

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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.