Home / 2,783.54-3,841.63-1,664.47

Finding the Fourth Proportional to 2,783.54, 3,841.63 and 1,664.47

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Solution

The fourth proportional to 2,783.54, 3,841.63 and 1,664.47 is: 2,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.54 : 3,841.63 = 1,664.47 : x
  2. Step 2: Convert to fraction form
    2,783.54/3,841.63 = 1,664.47/x
  3. Step 3: Cross multiply
    2,783.54x = 3,841.63 × 1,664.47
  4. Step 4: Simplify right side
    2,783.54x = 6,394,277.89
  5. Step 5: Solve for x
    x = 6,394,277.89/2,783.54
  6. Step 6: Final answer
    x = 2,297.17

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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.