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Finding the Fourth Proportional to 2,169.50, 2,993.20 and 1,383.80

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Solution

The fourth proportional to 2,169.50, 2,993.20 and 1,383.80 is: 1,909.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.50 : 2,993.20 = 1,383.80 : x
  2. Step 2: Convert to fraction form
    2,169.50/2,993.20 = 1,383.80/x
  3. Step 3: Cross multiply
    2,169.50x = 2,993.20 × 1,383.80
  4. Step 4: Simplify right side
    2,169.50x = 4,141,971.73
  5. Step 5: Solve for x
    x = 4,141,971.73/2,169.50
  6. Step 6: Final answer
    x = 1,909.19

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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.