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Finding the Fourth Proportional to 4,974, 6,863.04 and 3,205.20

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Solution

The fourth proportional to 4,974, 6,863.04 and 3,205.20 is: 4,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974 : 6,863.04 = 3,205.20 : x
  2. Step 2: Convert to fraction form
    4,974/6,863.04 = 3,205.20/x
  3. Step 3: Cross multiply
    4,974x = 6,863.04 × 3,205.20
  4. Step 4: Simplify right side
    4,974x = 21,997,415.81
  5. Step 5: Solve for x
    x = 21,997,415.81/4,974
  6. Step 6: Final answer
    x = 4,422.48

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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.