Home / 2,829.94-3,905.31-1,650.78

Finding the Fourth Proportional to 2,829.94, 3,905.31 and 1,650.78

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Solution

The fourth proportional to 2,829.94, 3,905.31 and 1,650.78 is: 2,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.94 : 3,905.31 = 1,650.78 : x
  2. Step 2: Convert to fraction form
    2,829.94/3,905.31 = 1,650.78/x
  3. Step 3: Cross multiply
    2,829.94x = 3,905.31 × 1,650.78
  4. Step 4: Simplify right side
    2,829.94x = 6,446,813.83
  5. Step 5: Solve for x
    x = 6,446,813.83/2,829.94
  6. Step 6: Final answer
    x = 2,278.08

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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.