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Finding the Fourth Proportional to 2,883.60, 3,978.80 and 1,999.12

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Solution

The fourth proportional to 2,883.60, 3,978.80 and 1,999.12 is: 2,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.60 : 3,978.80 = 1,999.12 : x
  2. Step 2: Convert to fraction form
    2,883.60/3,978.80 = 1,999.12/x
  3. Step 3: Cross multiply
    2,883.60x = 3,978.80 × 1,999.12
  4. Step 4: Simplify right side
    2,883.60x = 7,954,098.66
  5. Step 5: Solve for x
    x = 7,954,098.66/2,883.60
  6. Step 6: Final answer
    x = 2,758.39

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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.