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Finding the Fourth Proportional to 13,911.71, 19,199.19 and 8,609.60

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Solution

The fourth proportional to 13,911.71, 19,199.19 and 8,609.60 is: 11,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.71 : 19,199.19 = 8,609.60 : x
  2. Step 2: Convert to fraction form
    13,911.71/19,199.19 = 8,609.60/x
  3. Step 3: Cross multiply
    13,911.71x = 19,199.19 × 8,609.60
  4. Step 4: Simplify right side
    13,911.71x = 165,297,250.23
  5. Step 5: Solve for x
    x = 165,297,250.23/13,911.71
  6. Step 6: Final answer
    x = 11,881.88

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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.