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Finding the Fourth Proportional to 5,169, 7,133.22 and 2,961

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Solution

The fourth proportional to 5,169, 7,133.22 and 2,961 is: 4,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169 : 7,133.22 = 2,961 : x
  2. Step 2: Convert to fraction form
    5,169/7,133.22 = 2,961/x
  3. Step 3: Cross multiply
    5,169x = 7,133.22 × 2,961
  4. Step 4: Simplify right side
    5,169x = 21,121,464.42
  5. Step 5: Solve for x
    x = 21,121,464.42/5,169
  6. Step 6: Final answer
    x = 4,086.18

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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.