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Finding the Fourth Proportional to 2,821.94, 4,231.49 and 1,652.32

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Solution

The fourth proportional to 2,821.94, 4,231.49 and 1,652.32 is: 2,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.94 : 4,231.49 = 1,652.32 : x
  2. Step 2: Convert to fraction form
    2,821.94/4,231.49 = 1,652.32/x
  3. Step 3: Cross multiply
    2,821.94x = 4,231.49 × 1,652.32
  4. Step 4: Simplify right side
    2,821.94x = 6,991,769.11
  5. Step 5: Solve for x
    x = 6,991,769.11/2,821.94
  6. Step 6: Final answer
    x = 2,477.64

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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.