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Finding the Fourth Proportional to 2,862, 3,947.04 and 1,866.33

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Solution

The fourth proportional to 2,862, 3,947.04 and 1,866.33 is: 2,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862 : 3,947.04 = 1,866.33 : x
  2. Step 2: Convert to fraction form
    2,862/3,947.04 = 1,866.33/x
  3. Step 3: Cross multiply
    2,862x = 3,947.04 × 1,866.33
  4. Step 4: Simplify right side
    2,862x = 7,366,479.16
  5. Step 5: Solve for x
    x = 7,366,479.16/2,862
  6. Step 6: Final answer
    x = 2,573.89

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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.