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Finding the Fourth Proportional to 11,811.54, 16,299.54 and 6,433.95

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Solution

The fourth proportional to 11,811.54, 16,299.54 and 6,433.95 is: 8,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.54 : 16,299.54 = 6,433.95 : x
  2. Step 2: Convert to fraction form
    11,811.54/16,299.54 = 6,433.95/x
  3. Step 3: Cross multiply
    11,811.54x = 16,299.54 × 6,433.95
  4. Step 4: Simplify right side
    11,811.54x = 104,870,425.38
  5. Step 5: Solve for x
    x = 104,870,425.38/11,811.54
  6. Step 6: Final answer
    x = 8,878.64

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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.