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Finding the Fourth Proportional to 12,996.90, 19,495.89 and 10,820.97

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Solution

The fourth proportional to 12,996.90, 19,495.89 and 10,820.97 is: 16,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.90 : 19,495.89 = 10,820.97 : x
  2. Step 2: Convert to fraction form
    12,996.90/19,495.89 = 10,820.97/x
  3. Step 3: Cross multiply
    12,996.90x = 19,495.89 × 10,820.97
  4. Step 4: Simplify right side
    12,996.90x = 210,964,440.81
  5. Step 5: Solve for x
    x = 210,964,440.81/12,996.90
  6. Step 6: Final answer
    x = 16,231.90

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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.