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Finding the Fourth Proportional to 2,091.62, 3,137.19 and 552.74

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Solution

The fourth proportional to 2,091.62, 3,137.19 and 552.74 is: 829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.62 : 3,137.19 = 552.74 : x
  2. Step 2: Convert to fraction form
    2,091.62/3,137.19 = 552.74/x
  3. Step 3: Cross multiply
    2,091.62x = 3,137.19 × 552.74
  4. Step 4: Simplify right side
    2,091.62x = 1,734,050.40
  5. Step 5: Solve for x
    x = 1,734,050.40/2,091.62
  6. Step 6: Final answer
    x = 829.05

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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.