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Finding the Fourth Proportional to 2,628.85, 3,942.82 and 985.06

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Solution

The fourth proportional to 2,628.85, 3,942.82 and 985.06 is: 1,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.85 : 3,942.82 = 985.06 : x
  2. Step 2: Convert to fraction form
    2,628.85/3,942.82 = 985.06/x
  3. Step 3: Cross multiply
    2,628.85x = 3,942.82 × 985.06
  4. Step 4: Simplify right side
    2,628.85x = 3,883,901.95
  5. Step 5: Solve for x
    x = 3,883,901.95/2,628.85
  6. Step 6: Final answer
    x = 1,477.42

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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.