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Finding the Fourth Proportional to 14,977, 20,668.26 and 8,353

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Solution

The fourth proportional to 14,977, 20,668.26 and 8,353 is: 11,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977 : 20,668.26 = 8,353 : x
  2. Step 2: Convert to fraction form
    14,977/20,668.26 = 8,353/x
  3. Step 3: Cross multiply
    14,977x = 20,668.26 × 8,353
  4. Step 4: Simplify right side
    14,977x = 172,641,975.78
  5. Step 5: Solve for x
    x = 172,641,975.78/14,977
  6. Step 6: Final answer
    x = 11,527.14

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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.