Home / 6,823.24-10,220-4,182.75

Finding the Fourth Proportional to 6,823.24, 10,220 and 4,182.75

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Solution

The fourth proportional to 6,823.24, 10,220 and 4,182.75 is: 6,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.24 : 10,220 = 4,182.75 : x
  2. Step 2: Convert to fraction form
    6,823.24/10,220 = 4,182.75/x
  3. Step 3: Cross multiply
    6,823.24x = 10,220 × 4,182.75
  4. Step 4: Simplify right side
    6,823.24x = 42,747,705
  5. Step 5: Solve for x
    x = 42,747,705/6,823.24
  6. Step 6: Final answer
    x = 6,265.02

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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.