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Finding the Fourth Proportional to 3,380.67, 4,665.20 and 1,964.16

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Solution

The fourth proportional to 3,380.67, 4,665.20 and 1,964.16 is: 2,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.67 : 4,665.20 = 1,964.16 : x
  2. Step 2: Convert to fraction form
    3,380.67/4,665.20 = 1,964.16/x
  3. Step 3: Cross multiply
    3,380.67x = 4,665.20 × 1,964.16
  4. Step 4: Simplify right side
    3,380.67x = 9,163,189.41
  5. Step 5: Solve for x
    x = 9,163,189.41/3,380.67
  6. Step 6: Final answer
    x = 2,710.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.