Home / 2,871.24-4,306.46-923.20

Finding the Fourth Proportional to 2,871.24, 4,306.46 and 923.20

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Solution

The fourth proportional to 2,871.24, 4,306.46 and 923.20 is: 1,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.24 : 4,306.46 = 923.20 : x
  2. Step 2: Convert to fraction form
    2,871.24/4,306.46 = 923.20/x
  3. Step 3: Cross multiply
    2,871.24x = 4,306.46 × 923.20
  4. Step 4: Simplify right side
    2,871.24x = 3,975,723.87
  5. Step 5: Solve for x
    x = 3,975,723.87/2,871.24
  6. Step 6: Final answer
    x = 1,384.67

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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.