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Finding the Fourth Proportional to 1,993.40, 2,752.14 and 1,806.20

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Solution

The fourth proportional to 1,993.40, 2,752.14 and 1,806.20 is: 2,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.40 : 2,752.14 = 1,806.20 : x
  2. Step 2: Convert to fraction form
    1,993.40/2,752.14 = 1,806.20/x
  3. Step 3: Cross multiply
    1,993.40x = 2,752.14 × 1,806.20
  4. Step 4: Simplify right side
    1,993.40x = 4,970,915.27
  5. Step 5: Solve for x
    x = 4,970,915.27/1,993.40
  6. Step 6: Final answer
    x = 2,493.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.