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Finding the Fourth Proportional to 14,614.16, 20,169 and 8,326.80

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Solution

The fourth proportional to 14,614.16, 20,169 and 8,326.80 is: 11,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.16 : 20,169 = 8,326.80 : x
  2. Step 2: Convert to fraction form
    14,614.16/20,169 = 8,326.80/x
  3. Step 3: Cross multiply
    14,614.16x = 20,169 × 8,326.80
  4. Step 4: Simplify right side
    14,614.16x = 167,943,229.20
  5. Step 5: Solve for x
    x = 167,943,229.20/14,614.16
  6. Step 6: Final answer
    x = 11,491.82

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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.