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Finding the Fourth Proportional to 11,713, 16,167.78 and 8,410.60

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Solution

The fourth proportional to 11,713, 16,167.78 and 8,410.60 is: 11,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713 : 16,167.78 = 8,410.60 : x
  2. Step 2: Convert to fraction form
    11,713/16,167.78 = 8,410.60/x
  3. Step 3: Cross multiply
    11,713x = 16,167.78 × 8,410.60
  4. Step 4: Simplify right side
    11,713x = 135,980,730.47
  5. Step 5: Solve for x
    x = 135,980,730.47/11,713
  6. Step 6: Final answer
    x = 11,609.39

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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.