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Finding the Fourth Proportional to 2,169.50, 2,994.09 and 1,238.18

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Solution

The fourth proportional to 2,169.50, 2,994.09 and 1,238.18 is: 1,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.50 : 2,994.09 = 1,238.18 : x
  2. Step 2: Convert to fraction form
    2,169.50/2,994.09 = 1,238.18/x
  3. Step 3: Cross multiply
    2,169.50x = 2,994.09 × 1,238.18
  4. Step 4: Simplify right side
    2,169.50x = 3,707,222.36
  5. Step 5: Solve for x
    x = 3,707,222.36/2,169.50
  6. Step 6: Final answer
    x = 1,708.79

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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.