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Finding the Fourth Proportional to 8,050, 12,075 and 2,578

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Solution

The fourth proportional to 8,050, 12,075 and 2,578 is: 3,867

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050 : 12,075 = 2,578 : x
  2. Step 2: Convert to fraction form
    8,050/12,075 = 2,578/x
  3. Step 3: Cross multiply
    8,050x = 12,075 × 2,578
  4. Step 4: Simplify right side
    8,050x = 31,129,350
  5. Step 5: Solve for x
    x = 31,129,350/8,050
  6. Step 6: Final answer
    x = 3,867

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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.