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Finding the Fourth Proportional to 14,586.82, 20,129.76 and 8,213.41

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Solution

The fourth proportional to 14,586.82, 20,129.76 and 8,213.41 is: 11,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.82 : 20,129.76 = 8,213.41 : x
  2. Step 2: Convert to fraction form
    14,586.82/20,129.76 = 8,213.41/x
  3. Step 3: Cross multiply
    14,586.82x = 20,129.76 × 8,213.41
  4. Step 4: Simplify right side
    14,586.82x = 165,333,972.08
  5. Step 5: Solve for x
    x = 165,333,972.08/14,586.82
  6. Step 6: Final answer
    x = 11,334.48

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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.