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Finding the Fourth Proportional to 2,318.87, 3,478.19 and 758.67

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Solution

The fourth proportional to 2,318.87, 3,478.19 and 758.67 is: 1,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.87 : 3,478.19 = 758.67 : x
  2. Step 2: Convert to fraction form
    2,318.87/3,478.19 = 758.67/x
  3. Step 3: Cross multiply
    2,318.87x = 3,478.19 × 758.67
  4. Step 4: Simplify right side
    2,318.87x = 2,638,794.61
  5. Step 5: Solve for x
    x = 2,638,794.61/2,318.87
  6. Step 6: Final answer
    x = 1,137.97

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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.