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Finding the Fourth Proportional to 2,750.14, 4,125.22 and 670.14

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Solution

The fourth proportional to 2,750.14, 4,125.22 and 670.14 is: 1,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.14 : 4,125.22 = 670.14 : x
  2. Step 2: Convert to fraction form
    2,750.14/4,125.22 = 670.14/x
  3. Step 3: Cross multiply
    2,750.14x = 4,125.22 × 670.14
  4. Step 4: Simplify right side
    2,750.14x = 2,764,474.93
  5. Step 5: Solve for x
    x = 2,764,474.93/2,750.14
  6. Step 6: Final answer
    x = 1,005.21

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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.