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Finding the Fourth Proportional to 14,545, 20,072.10 and 7,921

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Solution

The fourth proportional to 14,545, 20,072.10 and 7,921 is: 10,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545 : 20,072.10 = 7,921 : x
  2. Step 2: Convert to fraction form
    14,545/20,072.10 = 7,921/x
  3. Step 3: Cross multiply
    14,545x = 20,072.10 × 7,921
  4. Step 4: Simplify right side
    14,545x = 158,991,104.10
  5. Step 5: Solve for x
    x = 158,991,104.10/14,545
  6. Step 6: Final answer
    x = 10,930.98

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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.