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Finding the Fourth Proportional to 13,239, 19,858.98 and 4,005

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Solution

The fourth proportional to 13,239, 19,858.98 and 4,005 is: 6,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,239 : 19,858.98 = 4,005 : x
  2. Step 2: Convert to fraction form
    13,239/19,858.98 = 4,005/x
  3. Step 3: Cross multiply
    13,239x = 19,858.98 × 4,005
  4. Step 4: Simplify right side
    13,239x = 79,535,214.90
  5. Step 5: Solve for x
    x = 79,535,214.90/13,239
  6. Step 6: Final answer
    x = 6,007.65

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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.