Home / 10,823.40-16,235.10-3,428.37

Finding the Fourth Proportional to 10,823.40, 16,235.10 and 3,428.37

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Solution

The fourth proportional to 10,823.40, 16,235.10 and 3,428.37 is: 5,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.40 : 16,235.10 = 3,428.37 : x
  2. Step 2: Convert to fraction form
    10,823.40/16,235.10 = 3,428.37/x
  3. Step 3: Cross multiply
    10,823.40x = 16,235.10 × 3,428.37
  4. Step 4: Simplify right side
    10,823.40x = 55,659,929.79
  5. Step 5: Solve for x
    x = 55,659,929.79/10,823.40
  6. Step 6: Final answer
    x = 5,142.56

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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.