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Finding the Fourth Proportional to 14,617.76, 20,166 and 9,309.68

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Solution

The fourth proportional to 14,617.76, 20,166 and 9,309.68 is: 12,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.76 : 20,166 = 9,309.68 : x
  2. Step 2: Convert to fraction form
    14,617.76/20,166 = 9,309.68/x
  3. Step 3: Cross multiply
    14,617.76x = 20,166 × 9,309.68
  4. Step 4: Simplify right side
    14,617.76x = 187,739,006.88
  5. Step 5: Solve for x
    x = 187,739,006.88/14,617.76
  6. Step 6: Final answer
    x = 12,843.21

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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.