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Finding the Fourth Proportional to 5,072.96, 6,996 and 3,894.08

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Solution

The fourth proportional to 5,072.96, 6,996 and 3,894.08 is: 5,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.96 : 6,996 = 3,894.08 : x
  2. Step 2: Convert to fraction form
    5,072.96/6,996 = 3,894.08/x
  3. Step 3: Cross multiply
    5,072.96x = 6,996 × 3,894.08
  4. Step 4: Simplify right side
    5,072.96x = 27,242,983.68
  5. Step 5: Solve for x
    x = 27,242,983.68/5,072.96
  6. Step 6: Final answer
    x = 5,370.23

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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.