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Finding the Fourth Proportional to 13,735.84, 18,958.96 and 8,776.48

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Solution

The fourth proportional to 13,735.84, 18,958.96 and 8,776.48 is: 12,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.84 : 18,958.96 = 8,776.48 : x
  2. Step 2: Convert to fraction form
    13,735.84/18,958.96 = 8,776.48/x
  3. Step 3: Cross multiply
    13,735.84x = 18,958.96 × 8,776.48
  4. Step 4: Simplify right side
    13,735.84x = 166,392,933.26
  5. Step 5: Solve for x
    x = 166,392,933.26/13,735.84
  6. Step 6: Final answer
    x = 12,113.78

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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.