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Finding the Fourth Proportional to 2,049.35, 3,074.33 and 816.77

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Solution

The fourth proportional to 2,049.35, 3,074.33 and 816.77 is: 1,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.35 : 3,074.33 = 816.77 : x
  2. Step 2: Convert to fraction form
    2,049.35/3,074.33 = 816.77/x
  3. Step 3: Cross multiply
    2,049.35x = 3,074.33 × 816.77
  4. Step 4: Simplify right side
    2,049.35x = 2,511,030.24
  5. Step 5: Solve for x
    x = 2,511,030.24/2,049.35
  6. Step 6: Final answer
    x = 1,225.28

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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.