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Finding the Fourth Proportional to 5,066, 6,991.08 and 2,858

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Solution

The fourth proportional to 5,066, 6,991.08 and 2,858 is: 3,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066 : 6,991.08 = 2,858 : x
  2. Step 2: Convert to fraction form
    5,066/6,991.08 = 2,858/x
  3. Step 3: Cross multiply
    5,066x = 6,991.08 × 2,858
  4. Step 4: Simplify right side
    5,066x = 19,980,506.64
  5. Step 5: Solve for x
    x = 19,980,506.64/5,066
  6. Step 6: Final answer
    x = 3,944.04

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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.