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Finding the Fourth Proportional to 2,169.54, 2,993.94 and 1,225.40

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Solution

The fourth proportional to 2,169.54, 2,993.94 and 1,225.40 is: 1,691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.54 : 2,993.94 = 1,225.40 : x
  2. Step 2: Convert to fraction form
    2,169.54/2,993.94 = 1,225.40/x
  3. Step 3: Cross multiply
    2,169.54x = 2,993.94 × 1,225.40
  4. Step 4: Simplify right side
    2,169.54x = 3,668,759.11
  5. Step 5: Solve for x
    x = 3,668,759.11/2,169.54
  6. Step 6: Final answer
    x = 1,691.03

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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.