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Finding the Fourth Proportional to 12,669.50, 18,996.06 and 6,830.30

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Solution

The fourth proportional to 12,669.50, 18,996.06 and 6,830.30 is: 10,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,669.50 : 18,996.06 = 6,830.30 : x
  2. Step 2: Convert to fraction form
    12,669.50/18,996.06 = 6,830.30/x
  3. Step 3: Cross multiply
    12,669.50x = 18,996.06 × 6,830.30
  4. Step 4: Simplify right side
    12,669.50x = 129,748,788.62
  5. Step 5: Solve for x
    x = 129,748,788.62/12,669.50
  6. Step 6: Final answer
    x = 10,241.03

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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.