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Finding the Fourth Proportional to 19,587.72, 29,307.96 and 11,661

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Solution

The fourth proportional to 19,587.72, 29,307.96 and 11,661 is: 17,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,587.72 : 29,307.96 = 11,661 : x
  2. Step 2: Convert to fraction form
    19,587.72/29,307.96 = 11,661/x
  3. Step 3: Cross multiply
    19,587.72x = 29,307.96 × 11,661
  4. Step 4: Simplify right side
    19,587.72x = 341,760,121.56
  5. Step 5: Solve for x
    x = 341,760,121.56/19,587.72
  6. Step 6: Final answer
    x = 17,447.67

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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.