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Finding the Fourth Proportional to 2,825.67, 4,238.14 and 745.84

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Solution

The fourth proportional to 2,825.67, 4,238.14 and 745.84 is: 1,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.67 : 4,238.14 = 745.84 : x
  2. Step 2: Convert to fraction form
    2,825.67/4,238.14 = 745.84/x
  3. Step 3: Cross multiply
    2,825.67x = 4,238.14 × 745.84
  4. Step 4: Simplify right side
    2,825.67x = 3,160,979.17
  5. Step 5: Solve for x
    x = 3,160,979.17/2,825.67
  6. Step 6: Final answer
    x = 1,118.67

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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.