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Finding the Fourth Proportional to 14,920.58, 20,589.99 and 8,206.21

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Solution

The fourth proportional to 14,920.58, 20,589.99 and 8,206.21 is: 11,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.58 : 20,589.99 = 8,206.21 : x
  2. Step 2: Convert to fraction form
    14,920.58/20,589.99 = 8,206.21/x
  3. Step 3: Cross multiply
    14,920.58x = 20,589.99 × 8,206.21
  4. Step 4: Simplify right side
    14,920.58x = 168,965,781.84
  5. Step 5: Solve for x
    x = 168,965,781.84/14,920.58
  6. Step 6: Final answer
    x = 11,324.34

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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.