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Finding the Fourth Proportional to 3,212.65, 4,821.77 and 1,828.77

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Solution

The fourth proportional to 3,212.65, 4,821.77 and 1,828.77 is: 2,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.65 : 4,821.77 = 1,828.77 : x
  2. Step 2: Convert to fraction form
    3,212.65/4,821.77 = 1,828.77/x
  3. Step 3: Cross multiply
    3,212.65x = 4,821.77 × 1,828.77
  4. Step 4: Simplify right side
    3,212.65x = 8,817,908.32
  5. Step 5: Solve for x
    x = 8,817,908.32/3,212.65
  6. Step 6: Final answer
    x = 2,744.75

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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.