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Finding the Fourth Proportional to 3,142.87, 4,712.28 and 1,194.01

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Solution

The fourth proportional to 3,142.87, 4,712.28 and 1,194.01 is: 1,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.87 : 4,712.28 = 1,194.01 : x
  2. Step 2: Convert to fraction form
    3,142.87/4,712.28 = 1,194.01/x
  3. Step 3: Cross multiply
    3,142.87x = 4,712.28 × 1,194.01
  4. Step 4: Simplify right side
    3,142.87x = 5,626,509.44
  5. Step 5: Solve for x
    x = 5,626,509.44/3,142.87
  6. Step 6: Final answer
    x = 1,790.25

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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.