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Finding the Fourth Proportional to 3,575, 4,933.50 and 2,333

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Solution

The fourth proportional to 3,575, 4,933.50 and 2,333 is: 3,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575 : 4,933.50 = 2,333 : x
  2. Step 2: Convert to fraction form
    3,575/4,933.50 = 2,333/x
  3. Step 3: Cross multiply
    3,575x = 4,933.50 × 2,333
  4. Step 4: Simplify right side
    3,575x = 11,509,855.50
  5. Step 5: Solve for x
    x = 11,509,855.50/3,575
  6. Step 6: Final answer
    x = 3,219.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.