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Finding the Fourth Proportional to 14,705.69, 20,293.44 and 7,991.09

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Solution

The fourth proportional to 14,705.69, 20,293.44 and 7,991.09 is: 11,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.69 : 20,293.44 = 7,991.09 : x
  2. Step 2: Convert to fraction form
    14,705.69/20,293.44 = 7,991.09/x
  3. Step 3: Cross multiply
    14,705.69x = 20,293.44 × 7,991.09
  4. Step 4: Simplify right side
    14,705.69x = 162,166,650.12
  5. Step 5: Solve for x
    x = 162,166,650.12/14,705.69
  6. Step 6: Final answer
    x = 11,027.48

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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.