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Finding the Fourth Proportional to 13,978.94, 19,296.99 and 9,993.14

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Solution

The fourth proportional to 13,978.94, 19,296.99 and 9,993.14 is: 13,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.94 : 19,296.99 = 9,993.14 : x
  2. Step 2: Convert to fraction form
    13,978.94/19,296.99 = 9,993.14/x
  3. Step 3: Cross multiply
    13,978.94x = 19,296.99 × 9,993.14
  4. Step 4: Simplify right side
    13,978.94x = 192,837,522.65
  5. Step 5: Solve for x
    x = 192,837,522.65/13,978.94
  6. Step 6: Final answer
    x = 13,794.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.