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Finding the Fourth Proportional to 3,138.66, 4,706.64 and 1,189.80

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Solution

The fourth proportional to 3,138.66, 4,706.64 and 1,189.80 is: 1,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.66 : 4,706.64 = 1,189.80 : x
  2. Step 2: Convert to fraction form
    3,138.66/4,706.64 = 1,189.80/x
  3. Step 3: Cross multiply
    3,138.66x = 4,706.64 × 1,189.80
  4. Step 4: Simplify right side
    3,138.66x = 5,599,960.27
  5. Step 5: Solve for x
    x = 5,599,960.27/3,138.66
  6. Step 6: Final answer
    x = 1,784.19

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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.