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Finding the Fourth Proportional to 3,213.46, 4,814.90 and 1,978.26

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Solution

The fourth proportional to 3,213.46, 4,814.90 and 1,978.26 is: 2,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.46 : 4,814.90 = 1,978.26 : x
  2. Step 2: Convert to fraction form
    3,213.46/4,814.90 = 1,978.26/x
  3. Step 3: Cross multiply
    3,213.46x = 4,814.90 × 1,978.26
  4. Step 4: Simplify right side
    3,213.46x = 9,525,103.55
  5. Step 5: Solve for x
    x = 9,525,103.55/3,213.46
  6. Step 6: Final answer
    x = 2,964.13

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1.5x scale

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.