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Finding the Fourth Proportional to 13,516.62, 18,664.68 and 8,489.58

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Solution

The fourth proportional to 13,516.62, 18,664.68 and 8,489.58 is: 11,723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.62 : 18,664.68 = 8,489.58 : x
  2. Step 2: Convert to fraction form
    13,516.62/18,664.68 = 8,489.58/x
  3. Step 3: Cross multiply
    13,516.62x = 18,664.68 × 8,489.58
  4. Step 4: Simplify right side
    13,516.62x = 158,455,294.03
  5. Step 5: Solve for x
    x = 158,455,294.03/13,516.62
  6. Step 6: Final answer
    x = 11,723.00

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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.