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Finding the Fourth Proportional to 13,245, 19,868.60 and 4,011

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Solution

The fourth proportional to 13,245, 19,868.60 and 4,011 is: 6,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,245 : 19,868.60 = 4,011 : x
  2. Step 2: Convert to fraction form
    13,245/19,868.60 = 4,011/x
  3. Step 3: Cross multiply
    13,245x = 19,868.60 × 4,011
  4. Step 4: Simplify right side
    13,245x = 79,692,954.60
  5. Step 5: Solve for x
    x = 79,692,954.60/13,245
  6. Step 6: Final answer
    x = 6,016.83

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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.