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Finding the Fourth Proportional to 6,824, 10,237.68 and 2,207

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Solution

The fourth proportional to 6,824, 10,237.68 and 2,207 is: 3,311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824 : 10,237.68 = 2,207 : x
  2. Step 2: Convert to fraction form
    6,824/10,237.68 = 2,207/x
  3. Step 3: Cross multiply
    6,824x = 10,237.68 × 2,207
  4. Step 4: Simplify right side
    6,824x = 22,594,559.76
  5. Step 5: Solve for x
    x = 22,594,559.76/6,824
  6. Step 6: Final answer
    x = 3,311.04

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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.