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Finding the Fourth Proportional to 13,993.58, 20,992.29 and 5,107.74

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Solution

The fourth proportional to 13,993.58, 20,992.29 and 5,107.74 is: 7,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.58 : 20,992.29 = 5,107.74 : x
  2. Step 2: Convert to fraction form
    13,993.58/20,992.29 = 5,107.74/x
  3. Step 3: Cross multiply
    13,993.58x = 20,992.29 × 5,107.74
  4. Step 4: Simplify right side
    13,993.58x = 107,223,159.32
  5. Step 5: Solve for x
    x = 107,223,159.32/13,993.58
  6. Step 6: Final answer
    x = 7,662.31

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1.5x scale

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.