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Finding the Fourth Proportional to 3,102.12, 4,651.56 and 2,331

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Solution

The fourth proportional to 3,102.12, 4,651.56 and 2,331 is: 3,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.12 : 4,651.56 = 2,331 : x
  2. Step 2: Convert to fraction form
    3,102.12/4,651.56 = 2,331/x
  3. Step 3: Cross multiply
    3,102.12x = 4,651.56 × 2,331
  4. Step 4: Simplify right side
    3,102.12x = 10,842,786.36
  5. Step 5: Solve for x
    x = 10,842,786.36/3,102.12
  6. Step 6: Final answer
    x = 3,495.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.