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Finding the Fourth Proportional to 3,219.74, 4,827.75 and 1,716.90

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Solution

The fourth proportional to 3,219.74, 4,827.75 and 1,716.90 is: 2,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.74 : 4,827.75 = 1,716.90 : x
  2. Step 2: Convert to fraction form
    3,219.74/4,827.75 = 1,716.90/x
  3. Step 3: Cross multiply
    3,219.74x = 4,827.75 × 1,716.90
  4. Step 4: Simplify right side
    3,219.74x = 8,288,763.98
  5. Step 5: Solve for x
    x = 8,288,763.98/3,219.74
  6. Step 6: Final answer
    x = 2,574.36

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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.