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Finding the Fourth Proportional to 3,137.76, 4,706.19 and 1,189.71

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Solution

The fourth proportional to 3,137.76, 4,706.19 and 1,189.71 is: 1,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.76 : 4,706.19 = 1,189.71 : x
  2. Step 2: Convert to fraction form
    3,137.76/4,706.19 = 1,189.71/x
  3. Step 3: Cross multiply
    3,137.76x = 4,706.19 × 1,189.71
  4. Step 4: Simplify right side
    3,137.76x = 5,599,001.30
  5. Step 5: Solve for x
    x = 5,599,001.30/3,137.76
  6. Step 6: Final answer
    x = 1,784.39

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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.