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Finding the Fourth Proportional to 6,576.50, 9,075.58 and 3,782

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Solution

The fourth proportional to 6,576.50, 9,075.58 and 3,782 is: 5,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.50 : 9,075.58 = 3,782 : x
  2. Step 2: Convert to fraction form
    6,576.50/9,075.58 = 3,782/x
  3. Step 3: Cross multiply
    6,576.50x = 9,075.58 × 3,782
  4. Step 4: Simplify right side
    6,576.50x = 34,323,843.56
  5. Step 5: Solve for x
    x = 34,323,843.56/6,576.50
  6. Step 6: Final answer
    x = 5,219.17

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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.