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Finding the Fourth Proportional to 5,230, 7,218.04 and 3,022

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Solution

The fourth proportional to 5,230, 7,218.04 and 3,022 is: 4,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230 : 7,218.04 = 3,022 : x
  2. Step 2: Convert to fraction form
    5,230/7,218.04 = 3,022/x
  3. Step 3: Cross multiply
    5,230x = 7,218.04 × 3,022
  4. Step 4: Simplify right side
    5,230x = 21,812,916.88
  5. Step 5: Solve for x
    x = 21,812,916.88/5,230
  6. Step 6: Final answer
    x = 4,170.73

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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.