Home / 1,564.85-2,350.23-949.67

Finding the Fourth Proportional to 1,564.85, 2,350.23 and 949.67

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Solution

The fourth proportional to 1,564.85, 2,350.23 and 949.67 is: 1,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.85 : 2,350.23 = 949.67 : x
  2. Step 2: Convert to fraction form
    1,564.85/2,350.23 = 949.67/x
  3. Step 3: Cross multiply
    1,564.85x = 2,350.23 × 949.67
  4. Step 4: Simplify right side
    1,564.85x = 2,231,942.92
  5. Step 5: Solve for x
    x = 2,231,942.92/1,564.85
  6. Step 6: Final answer
    x = 1,426.30

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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.