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Finding the Fourth Proportional to 20,473.68, 30,709.08 and 7,991.36

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Solution

The fourth proportional to 20,473.68, 30,709.08 and 7,991.36 is: 11,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.68 : 30,709.08 = 7,991.36 : x
  2. Step 2: Convert to fraction form
    20,473.68/30,709.08 = 7,991.36/x
  3. Step 3: Cross multiply
    20,473.68x = 30,709.08 × 7,991.36
  4. Step 4: Simplify right side
    20,473.68x = 245,407,313.55
  5. Step 5: Solve for x
    x = 245,407,313.55/20,473.68
  6. Step 6: Final answer
    x = 11,986.48

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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.