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Finding the Fourth Proportional to 14,144.51, 19,515.03 and 8,174

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Solution

The fourth proportional to 14,144.51, 19,515.03 and 8,174 is: 11,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.51 : 19,515.03 = 8,174 : x
  2. Step 2: Convert to fraction form
    14,144.51/19,515.03 = 8,174/x
  3. Step 3: Cross multiply
    14,144.51x = 19,515.03 × 8,174
  4. Step 4: Simplify right side
    14,144.51x = 159,515,855.22
  5. Step 5: Solve for x
    x = 159,515,855.22/14,144.51
  6. Step 6: Final answer
    x = 11,277.58

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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.