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Finding the Fourth Proportional to 14,614.75, 20,172 and 8,330.77

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Solution

The fourth proportional to 14,614.75, 20,172 and 8,330.77 is: 11,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.75 : 20,172 = 8,330.77 : x
  2. Step 2: Convert to fraction form
    14,614.75/20,172 = 8,330.77/x
  3. Step 3: Cross multiply
    14,614.75x = 20,172 × 8,330.77
  4. Step 4: Simplify right side
    14,614.75x = 168,048,292.44
  5. Step 5: Solve for x
    x = 168,048,292.44/14,614.75
  6. Step 6: Final answer
    x = 11,498.54

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1.5x scale

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.