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Finding the Fourth Proportional to 3,092.77, 4,639.26 and 901.67

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Solution

The fourth proportional to 3,092.77, 4,639.26 and 901.67 is: 1,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.77 : 4,639.26 = 901.67 : x
  2. Step 2: Convert to fraction form
    3,092.77/4,639.26 = 901.67/x
  3. Step 3: Cross multiply
    3,092.77x = 4,639.26 × 901.67
  4. Step 4: Simplify right side
    3,092.77x = 4,183,081.56
  5. Step 5: Solve for x
    x = 4,183,081.56/3,092.77
  6. Step 6: Final answer
    x = 1,352.54

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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.