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Finding the Fourth Proportional to 21,212.80, 31,808.94 and 6,418.96

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Solution

The fourth proportional to 21,212.80, 31,808.94 and 6,418.96 is: 9,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212.80 : 31,808.94 = 6,418.96 : x
  2. Step 2: Convert to fraction form
    21,212.80/31,808.94 = 6,418.96/x
  3. Step 3: Cross multiply
    21,212.80x = 31,808.94 × 6,418.96
  4. Step 4: Simplify right side
    21,212.80x = 204,180,313.50
  5. Step 5: Solve for x
    x = 204,180,313.50/21,212.80
  6. Step 6: Final answer
    x = 9,625.34

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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.