Home / 6,474-9,705.84-2,577.36

Finding the Fourth Proportional to 6,474, 9,705.84 and 2,577.36

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Solution

The fourth proportional to 6,474, 9,705.84 and 2,577.36 is: 3,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 9,705.84 = 2,577.36 : x
  2. Step 2: Convert to fraction form
    6,474/9,705.84 = 2,577.36/x
  3. Step 3: Cross multiply
    6,474x = 9,705.84 × 2,577.36
  4. Step 4: Simplify right side
    6,474x = 25,015,443.78
  5. Step 5: Solve for x
    x = 25,015,443.78/6,474
  6. Step 6: Final answer
    x = 3,863.99

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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.