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Finding the Fourth Proportional to 2,382.66, 3,573.97 and 920.79

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Solution

The fourth proportional to 2,382.66, 3,573.97 and 920.79 is: 1,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.66 : 3,573.97 = 920.79 : x
  2. Step 2: Convert to fraction form
    2,382.66/3,573.97 = 920.79/x
  3. Step 3: Cross multiply
    2,382.66x = 3,573.97 × 920.79
  4. Step 4: Simplify right side
    2,382.66x = 3,290,873.53
  5. Step 5: Solve for x
    x = 3,290,873.53/2,382.66
  6. Step 6: Final answer
    x = 1,381.18

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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.