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Finding the Fourth Proportional to 14,920.41, 20,590.16 and 8,206.14

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Solution

The fourth proportional to 14,920.41, 20,590.16 and 8,206.14 is: 11,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.41 : 20,590.16 = 8,206.14 : x
  2. Step 2: Convert to fraction form
    14,920.41/20,590.16 = 8,206.14/x
  3. Step 3: Cross multiply
    14,920.41x = 20,590.16 × 8,206.14
  4. Step 4: Simplify right side
    14,920.41x = 168,965,694.55
  5. Step 5: Solve for x
    x = 168,965,694.55/14,920.41
  6. Step 6: Final answer
    x = 11,324.47

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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.