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Finding the Fourth Proportional to 6,075, 9,112.62 and 1,971

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Solution

The fourth proportional to 6,075, 9,112.62 and 1,971 is: 2,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075 : 9,112.62 = 1,971 : x
  2. Step 2: Convert to fraction form
    6,075/9,112.62 = 1,971/x
  3. Step 3: Cross multiply
    6,075x = 9,112.62 × 1,971
  4. Step 4: Simplify right side
    6,075x = 17,960,974.02
  5. Step 5: Solve for x
    x = 17,960,974.02/6,075
  6. Step 6: Final answer
    x = 2,956.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.