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Finding the Fourth Proportional to 5,072.32, 6,999.72 and 2,834.32

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Solution

The fourth proportional to 5,072.32, 6,999.72 and 2,834.32 is: 3,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.32 : 6,999.72 = 2,834.32 : x
  2. Step 2: Convert to fraction form
    5,072.32/6,999.72 = 2,834.32/x
  3. Step 3: Cross multiply
    5,072.32x = 6,999.72 × 2,834.32
  4. Step 4: Simplify right side
    5,072.32x = 19,839,446.39
  5. Step 5: Solve for x
    x = 19,839,446.39/5,072.32
  6. Step 6: Final answer
    x = 3,911.32

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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.