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Finding the Fourth Proportional to 3,093.12, 4,639.68 and 902.07

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Solution

The fourth proportional to 3,093.12, 4,639.68 and 902.07 is: 1,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.12 : 4,639.68 = 902.07 : x
  2. Step 2: Convert to fraction form
    3,093.12/4,639.68 = 902.07/x
  3. Step 3: Cross multiply
    3,093.12x = 4,639.68 × 902.07
  4. Step 4: Simplify right side
    3,093.12x = 4,185,316.14
  5. Step 5: Solve for x
    x = 4,185,316.14/3,093.12
  6. Step 6: Final answer
    x = 1,353.11

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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.