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Finding the Fourth Proportional to 10,050, 15,075 and 3,894

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Solution

The fourth proportional to 10,050, 15,075 and 3,894 is: 5,841

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050 : 15,075 = 3,894 : x
  2. Step 2: Convert to fraction form
    10,050/15,075 = 3,894/x
  3. Step 3: Cross multiply
    10,050x = 15,075 × 3,894
  4. Step 4: Simplify right side
    10,050x = 58,702,050
  5. Step 5: Solve for x
    x = 58,702,050/10,050
  6. Step 6: Final answer
    x = 5,841

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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.