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Finding the Fourth Proportional to 7,273, 10,036.74 and 3,961

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Solution

The fourth proportional to 7,273, 10,036.74 and 3,961 is: 5,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273 : 10,036.74 = 3,961 : x
  2. Step 2: Convert to fraction form
    7,273/10,036.74 = 3,961/x
  3. Step 3: Cross multiply
    7,273x = 10,036.74 × 3,961
  4. Step 4: Simplify right side
    7,273x = 39,755,527.14
  5. Step 5: Solve for x
    x = 39,755,527.14/7,273
  6. Step 6: Final answer
    x = 5,466.18

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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.