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Finding the Fourth Proportional to 13,329, 19,993.50 and 4,095

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Solution

The fourth proportional to 13,329, 19,993.50 and 4,095 is: 6,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,329 : 19,993.50 = 4,095 : x
  2. Step 2: Convert to fraction form
    13,329/19,993.50 = 4,095/x
  3. Step 3: Cross multiply
    13,329x = 19,993.50 × 4,095
  4. Step 4: Simplify right side
    13,329x = 81,873,382.50
  5. Step 5: Solve for x
    x = 81,873,382.50/13,329
  6. Step 6: Final answer
    x = 6,142.50

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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.