Home / 2,311.10-3,465.42-923.30

Finding the Fourth Proportional to 2,311.10, 3,465.42 and 923.30

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Solution

The fourth proportional to 2,311.10, 3,465.42 and 923.30 is: 1,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.10 : 3,465.42 = 923.30 : x
  2. Step 2: Convert to fraction form
    2,311.10/3,465.42 = 923.30/x
  3. Step 3: Cross multiply
    2,311.10x = 3,465.42 × 923.30
  4. Step 4: Simplify right side
    2,311.10x = 3,199,622.29
  5. Step 5: Solve for x
    x = 3,199,622.29/2,311.10
  6. Step 6: Final answer
    x = 1,384.46

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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.