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Finding the Fourth Proportional to 5,231, 7,219.42 and 3,023

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Solution

The fourth proportional to 5,231, 7,219.42 and 3,023 is: 4,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231 : 7,219.42 = 3,023 : x
  2. Step 2: Convert to fraction form
    5,231/7,219.42 = 3,023/x
  3. Step 3: Cross multiply
    5,231x = 7,219.42 × 3,023
  4. Step 4: Simplify right side
    5,231x = 21,824,306.66
  5. Step 5: Solve for x
    x = 21,824,306.66/5,231
  6. Step 6: Final answer
    x = 4,172.11

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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.