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Finding the Fourth Proportional to 3,999.96, 5,522.31 and 2,883.78

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Solution

The fourth proportional to 3,999.96, 5,522.31 and 2,883.78 is: 3,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.96 : 5,522.31 = 2,883.78 : x
  2. Step 2: Convert to fraction form
    3,999.96/5,522.31 = 2,883.78/x
  3. Step 3: Cross multiply
    3,999.96x = 5,522.31 × 2,883.78
  4. Step 4: Simplify right side
    3,999.96x = 15,925,127.13
  5. Step 5: Solve for x
    x = 15,925,127.13/3,999.96
  6. Step 6: Final answer
    x = 3,981.32

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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.