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Finding the Fourth Proportional to 3,138.96, 4,711.50 and 1,496.64

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Solution

The fourth proportional to 3,138.96, 4,711.50 and 1,496.64 is: 2,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.96 : 4,711.50 = 1,496.64 : x
  2. Step 2: Convert to fraction form
    3,138.96/4,711.50 = 1,496.64/x
  3. Step 3: Cross multiply
    3,138.96x = 4,711.50 × 1,496.64
  4. Step 4: Simplify right side
    3,138.96x = 7,051,419.36
  5. Step 5: Solve for x
    x = 7,051,419.36/3,138.96
  6. Step 6: Final answer
    x = 2,246.42

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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.