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Finding the Fourth Proportional to 2,886.82, 3,984.33 and 1,628.26

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Solution

The fourth proportional to 2,886.82, 3,984.33 and 1,628.26 is: 2,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.82 : 3,984.33 = 1,628.26 : x
  2. Step 2: Convert to fraction form
    2,886.82/3,984.33 = 1,628.26/x
  3. Step 3: Cross multiply
    2,886.82x = 3,984.33 × 1,628.26
  4. Step 4: Simplify right side
    2,886.82x = 6,487,525.17
  5. Step 5: Solve for x
    x = 6,487,525.17/2,886.82
  6. Step 6: Final answer
    x = 2,247.29

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1.5x scale

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.