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Finding the Fourth Proportional to 2,653.23, 3,979.83 and 921.84

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Solution

The fourth proportional to 2,653.23, 3,979.83 and 921.84 is: 1,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.23 : 3,979.83 = 921.84 : x
  2. Step 2: Convert to fraction form
    2,653.23/3,979.83 = 921.84/x
  3. Step 3: Cross multiply
    2,653.23x = 3,979.83 × 921.84
  4. Step 4: Simplify right side
    2,653.23x = 3,668,766.49
  5. Step 5: Solve for x
    x = 3,668,766.49/2,653.23
  6. Step 6: Final answer
    x = 1,382.75

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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.