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Finding the Fourth Proportional to 3,212.64, 4,821.12 and 1,674.72

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Solution

The fourth proportional to 3,212.64, 4,821.12 and 1,674.72 is: 2,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.64 : 4,821.12 = 1,674.72 : x
  2. Step 2: Convert to fraction form
    3,212.64/4,821.12 = 1,674.72/x
  3. Step 3: Cross multiply
    3,212.64x = 4,821.12 × 1,674.72
  4. Step 4: Simplify right side
    3,212.64x = 8,074,026.09
  5. Step 5: Solve for x
    x = 8,074,026.09/3,212.64
  6. Step 6: Final answer
    x = 2,513.21

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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.