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Finding the Fourth Proportional to 11,638.59, 17,444.02 and 8,109.49

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Solution

The fourth proportional to 11,638.59, 17,444.02 and 8,109.49 is: 12,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.59 : 17,444.02 = 8,109.49 : x
  2. Step 2: Convert to fraction form
    11,638.59/17,444.02 = 8,109.49/x
  3. Step 3: Cross multiply
    11,638.59x = 17,444.02 × 8,109.49
  4. Step 4: Simplify right side
    11,638.59x = 141,462,105.75
  5. Step 5: Solve for x
    x = 141,462,105.75/11,638.59
  6. Step 6: Final answer
    x = 12,154.57

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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.