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Finding the Fourth Proportional to 13,243, 19,865.60 and 4,009

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Solution

The fourth proportional to 13,243, 19,865.60 and 4,009 is: 6,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243 : 19,865.60 = 4,009 : x
  2. Step 2: Convert to fraction form
    13,243/19,865.60 = 4,009/x
  3. Step 3: Cross multiply
    13,243x = 19,865.60 × 4,009
  4. Step 4: Simplify right side
    13,243x = 79,641,190.40
  5. Step 5: Solve for x
    x = 79,641,190.40/13,243
  6. Step 6: Final answer
    x = 6,013.83

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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.