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Finding the Fourth Proportional to 2,628.30, 3,942.44 and 985.62

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Solution

The fourth proportional to 2,628.30, 3,942.44 and 985.62 is: 1,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.30 : 3,942.44 = 985.62 : x
  2. Step 2: Convert to fraction form
    2,628.30/3,942.44 = 985.62/x
  3. Step 3: Cross multiply
    2,628.30x = 3,942.44 × 985.62
  4. Step 4: Simplify right side
    2,628.30x = 3,885,747.71
  5. Step 5: Solve for x
    x = 3,885,747.71/2,628.30
  6. Step 6: Final answer
    x = 1,478.43

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Similar ratio
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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.