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Finding the Fourth Proportional to 5,574, 8,361 and 2,112.60

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Solution

The fourth proportional to 5,574, 8,361 and 2,112.60 is: 3,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574 : 8,361 = 2,112.60 : x
  2. Step 2: Convert to fraction form
    5,574/8,361 = 2,112.60/x
  3. Step 3: Cross multiply
    5,574x = 8,361 × 2,112.60
  4. Step 4: Simplify right side
    5,574x = 17,663,448.60
  5. Step 5: Solve for x
    x = 17,663,448.60/5,574
  6. Step 6: Final answer
    x = 3,168.90

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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.