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Finding the Fourth Proportional to 2,804.70, 3,872.04 and 1,921.80

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Solution

The fourth proportional to 2,804.70, 3,872.04 and 1,921.80 is: 2,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.70 : 3,872.04 = 1,921.80 : x
  2. Step 2: Convert to fraction form
    2,804.70/3,872.04 = 1,921.80/x
  3. Step 3: Cross multiply
    2,804.70x = 3,872.04 × 1,921.80
  4. Step 4: Simplify right side
    2,804.70x = 7,441,286.47
  5. Step 5: Solve for x
    x = 7,441,286.47/2,804.70
  6. Step 6: Final answer
    x = 2,653.15

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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.