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Finding the Fourth Proportional to 14,889.68, 20,546.96 and 8,174

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Solution

The fourth proportional to 14,889.68, 20,546.96 and 8,174 is: 11,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,889.68 : 20,546.96 = 8,174 : x
  2. Step 2: Convert to fraction form
    14,889.68/20,546.96 = 8,174/x
  3. Step 3: Cross multiply
    14,889.68x = 20,546.96 × 8,174
  4. Step 4: Simplify right side
    14,889.68x = 167,950,851.04
  5. Step 5: Solve for x
    x = 167,950,851.04/14,889.68
  6. Step 6: Final answer
    x = 11,279.68

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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.