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Finding the Fourth Proportional to 13,135.60, 18,111 and 8,158.96

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Solution

The fourth proportional to 13,135.60, 18,111 and 8,158.96 is: 11,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.60 : 18,111 = 8,158.96 : x
  2. Step 2: Convert to fraction form
    13,135.60/18,111 = 8,158.96/x
  3. Step 3: Cross multiply
    13,135.60x = 18,111 × 8,158.96
  4. Step 4: Simplify right side
    13,135.60x = 147,766,924.56
  5. Step 5: Solve for x
    x = 147,766,924.56/13,135.60
  6. Step 6: Final answer
    x = 11,249.35

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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.