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Finding the Fourth Proportional to 6,762.75, 10,145.76 and 2,145.75

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Solution

The fourth proportional to 6,762.75, 10,145.76 and 2,145.75 is: 3,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.75 : 10,145.76 = 2,145.75 : x
  2. Step 2: Convert to fraction form
    6,762.75/10,145.76 = 2,145.75/x
  3. Step 3: Cross multiply
    6,762.75x = 10,145.76 × 2,145.75
  4. Step 4: Simplify right side
    6,762.75x = 21,770,264.52
  5. Step 5: Solve for x
    x = 21,770,264.52/6,762.75
  6. Step 6: Final answer
    x = 3,219.14

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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.