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Finding the Fourth Proportional to 3,218.41, 4,819.41 and 1,570.64

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Solution

The fourth proportional to 3,218.41, 4,819.41 and 1,570.64 is: 2,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.41 : 4,819.41 = 1,570.64 : x
  2. Step 2: Convert to fraction form
    3,218.41/4,819.41 = 1,570.64/x
  3. Step 3: Cross multiply
    3,218.41x = 4,819.41 × 1,570.64
  4. Step 4: Simplify right side
    3,218.41x = 7,569,563.34
  5. Step 5: Solve for x
    x = 7,569,563.34/3,218.41
  6. Step 6: Final answer
    x = 2,351.96

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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.