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Finding the Fourth Proportional to 6,762.25, 10,143.38 and 2,145.25

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Solution

The fourth proportional to 6,762.25, 10,143.38 and 2,145.25 is: 3,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.25 : 10,143.38 = 2,145.25 : x
  2. Step 2: Convert to fraction form
    6,762.25/10,143.38 = 2,145.25/x
  3. Step 3: Cross multiply
    6,762.25x = 10,143.38 × 2,145.25
  4. Step 4: Simplify right side
    6,762.25x = 21,760,085.95
  5. Step 5: Solve for x
    x = 21,760,085.95/6,762.25
  6. Step 6: Final answer
    x = 3,217.88

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1.5x scale

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.