Home / 4,282.50-6,424.56-1,974

Finding the Fourth Proportional to 4,282.50, 6,424.56 and 1,974

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Solution

The fourth proportional to 4,282.50, 6,424.56 and 1,974 is: 2,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.50 : 6,424.56 = 1,974 : x
  2. Step 2: Convert to fraction form
    4,282.50/6,424.56 = 1,974/x
  3. Step 3: Cross multiply
    4,282.50x = 6,424.56 × 1,974
  4. Step 4: Simplify right side
    4,282.50x = 12,682,081.44
  5. Step 5: Solve for x
    x = 12,682,081.44/4,282.50
  6. Step 6: Final answer
    x = 2,961.37

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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.