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Finding the Fourth Proportional to 11,913, 17,869.50 and 8,161.08

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Solution

The fourth proportional to 11,913, 17,869.50 and 8,161.08 is: 12,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913 : 17,869.50 = 8,161.08 : x
  2. Step 2: Convert to fraction form
    11,913/17,869.50 = 8,161.08/x
  3. Step 3: Cross multiply
    11,913x = 17,869.50 × 8,161.08
  4. Step 4: Simplify right side
    11,913x = 145,834,419.06
  5. Step 5: Solve for x
    x = 145,834,419.06/11,913
  6. Step 6: Final answer
    x = 12,241.62

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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.