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Finding the Fourth Proportional to 11,913, 16,422.94 and 8,554.74

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Solution

The fourth proportional to 11,913, 16,422.94 and 8,554.74 is: 11,793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913 : 16,422.94 = 8,554.74 : x
  2. Step 2: Convert to fraction form
    11,913/16,422.94 = 8,554.74/x
  3. Step 3: Cross multiply
    11,913x = 16,422.94 × 8,554.74
  4. Step 4: Simplify right side
    11,913x = 140,493,981.74
  5. Step 5: Solve for x
    x = 140,493,981.74/11,913
  6. Step 6: Final answer
    x = 11,793.33

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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.