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Finding the Fourth Proportional to 3,119, 4,679.27 and 927.72

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Solution

The fourth proportional to 3,119, 4,679.27 and 927.72 is: 1,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119 : 4,679.27 = 927.72 : x
  2. Step 2: Convert to fraction form
    3,119/4,679.27 = 927.72/x
  3. Step 3: Cross multiply
    3,119x = 4,679.27 × 927.72
  4. Step 4: Simplify right side
    3,119x = 4,341,052.36
  5. Step 5: Solve for x
    x = 4,341,052.36/3,119
  6. Step 6: Final answer
    x = 1,391.81

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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.