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Finding the Fourth Proportional to 12,996, 19,496.03 and 4,228.85

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Solution

The fourth proportional to 12,996, 19,496.03 and 4,228.85 is: 6,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996 : 19,496.03 = 4,228.85 : x
  2. Step 2: Convert to fraction form
    12,996/19,496.03 = 4,228.85/x
  3. Step 3: Cross multiply
    12,996x = 19,496.03 × 4,228.85
  4. Step 4: Simplify right side
    12,996x = 82,445,667.84
  5. Step 5: Solve for x
    x = 82,445,667.84/12,996
  6. Step 6: Final answer
    x = 6,343.93

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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.