Home / 2,047-2,824.94-1,219.48

Finding the Fourth Proportional to 2,047, 2,824.94 and 1,219.48

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Solution

The fourth proportional to 2,047, 2,824.94 and 1,219.48 is: 1,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047 : 2,824.94 = 1,219.48 : x
  2. Step 2: Convert to fraction form
    2,047/2,824.94 = 1,219.48/x
  3. Step 3: Cross multiply
    2,047x = 2,824.94 × 1,219.48
  4. Step 4: Simplify right side
    2,047x = 3,444,957.83
  5. Step 5: Solve for x
    x = 3,444,957.83/2,047
  6. Step 6: Final answer
    x = 1,682.93

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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.