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Finding the Fourth Proportional to 2,205.24, 3,307.86 and 561.83

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Solution

The fourth proportional to 2,205.24, 3,307.86 and 561.83 is: 842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.24 : 3,307.86 = 561.83 : x
  2. Step 2: Convert to fraction form
    2,205.24/3,307.86 = 561.83/x
  3. Step 3: Cross multiply
    2,205.24x = 3,307.86 × 561.83
  4. Step 4: Simplify right side
    2,205.24x = 1,858,438.44
  5. Step 5: Solve for x
    x = 1,858,438.44/2,205.24
  6. Step 6: Final answer
    x = 842.74

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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.