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Finding the Fourth Proportional to 3,000.82, 4,501.20 and 1,356.22

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Solution

The fourth proportional to 3,000.82, 4,501.20 and 1,356.22 is: 2,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.82 : 4,501.20 = 1,356.22 : x
  2. Step 2: Convert to fraction form
    3,000.82/4,501.20 = 1,356.22/x
  3. Step 3: Cross multiply
    3,000.82x = 4,501.20 × 1,356.22
  4. Step 4: Simplify right side
    3,000.82x = 6,104,604.07
  5. Step 5: Solve for x
    x = 6,104,604.07/3,000.82
  6. Step 6: Final answer
    x = 2,034.31

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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.