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Finding the Fourth Proportional to 1,866.38, 2,783.73 and 1,833.58

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Solution

The fourth proportional to 1,866.38, 2,783.73 and 1,833.58 is: 2,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.38 : 2,783.73 = 1,833.58 : x
  2. Step 2: Convert to fraction form
    1,866.38/2,783.73 = 1,833.58/x
  3. Step 3: Cross multiply
    1,866.38x = 2,783.73 × 1,833.58
  4. Step 4: Simplify right side
    1,866.38x = 5,104,168.57
  5. Step 5: Solve for x
    x = 5,104,168.57/1,866.38
  6. Step 6: Final answer
    x = 2,734.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.