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Finding the Fourth Proportional to 3,380.85, 5,071.10 and 1,072.17

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Solution

The fourth proportional to 3,380.85, 5,071.10 and 1,072.17 is: 1,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.85 : 5,071.10 = 1,072.17 : x
  2. Step 2: Convert to fraction form
    3,380.85/5,071.10 = 1,072.17/x
  3. Step 3: Cross multiply
    3,380.85x = 5,071.10 × 1,072.17
  4. Step 4: Simplify right side
    3,380.85x = 5,437,075.93
  5. Step 5: Solve for x
    x = 5,437,075.93/3,380.85
  6. Step 6: Final answer
    x = 1,608.20

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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.