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Finding the Fourth Proportional to 2,205.98, 3,309 and 1,950.86

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Solution

The fourth proportional to 2,205.98, 3,309 and 1,950.86 is: 2,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.98 : 3,309 = 1,950.86 : x
  2. Step 2: Convert to fraction form
    2,205.98/3,309 = 1,950.86/x
  3. Step 3: Cross multiply
    2,205.98x = 3,309 × 1,950.86
  4. Step 4: Simplify right side
    2,205.98x = 6,455,395.74
  5. Step 5: Solve for x
    x = 6,455,395.74/2,205.98
  6. Step 6: Final answer
    x = 2,926.32

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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.