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Finding the Fourth Proportional to 3,380.66, 5,071.80 and 1,072.16

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Solution

The fourth proportional to 3,380.66, 5,071.80 and 1,072.16 is: 1,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.66 : 5,071.80 = 1,072.16 : x
  2. Step 2: Convert to fraction form
    3,380.66/5,071.80 = 1,072.16/x
  3. Step 3: Cross multiply
    3,380.66x = 5,071.80 × 1,072.16
  4. Step 4: Simplify right side
    3,380.66x = 5,437,781.09
  5. Step 5: Solve for x
    x = 5,437,781.09/3,380.66
  6. Step 6: Final answer
    x = 1,608.50

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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.