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Finding the Fourth Proportional to 6,684.57, 10,021.22 and 4,213.95

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Solution

The fourth proportional to 6,684.57, 10,021.22 and 4,213.95 is: 6,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.57 : 10,021.22 = 4,213.95 : x
  2. Step 2: Convert to fraction form
    6,684.57/10,021.22 = 4,213.95/x
  3. Step 3: Cross multiply
    6,684.57x = 10,021.22 × 4,213.95
  4. Step 4: Simplify right side
    6,684.57x = 42,228,848.84
  5. Step 5: Solve for x
    x = 42,228,848.84/6,684.57
  6. Step 6: Final answer
    x = 6,317.36

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1.5x scale

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.