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Finding the Fourth Proportional to 3,866.33, 5,335.08 and 2,164.92

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Solution

The fourth proportional to 3,866.33, 5,335.08 and 2,164.92 is: 2,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.33 : 5,335.08 = 2,164.92 : x
  2. Step 2: Convert to fraction form
    3,866.33/5,335.08 = 2,164.92/x
  3. Step 3: Cross multiply
    3,866.33x = 5,335.08 × 2,164.92
  4. Step 4: Simplify right side
    3,866.33x = 11,550,010.57
  5. Step 5: Solve for x
    x = 11,550,010.57/3,866.33
  6. Step 6: Final answer
    x = 2,987.34

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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.