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Finding the Fourth Proportional to 5,122, 7,068.36 and 2,914

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Solution

The fourth proportional to 5,122, 7,068.36 and 2,914 is: 4,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122 : 7,068.36 = 2,914 : x
  2. Step 2: Convert to fraction form
    5,122/7,068.36 = 2,914/x
  3. Step 3: Cross multiply
    5,122x = 7,068.36 × 2,914
  4. Step 4: Simplify right side
    5,122x = 20,597,201.04
  5. Step 5: Solve for x
    x = 20,597,201.04/5,122
  6. Step 6: Final answer
    x = 4,021.32

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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.