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Finding the Fourth Proportional to 12,313.61, 16,979.26 and 8,327.80

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Solution

The fourth proportional to 12,313.61, 16,979.26 and 8,327.80 is: 11,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.61 : 16,979.26 = 8,327.80 : x
  2. Step 2: Convert to fraction form
    12,313.61/16,979.26 = 8,327.80/x
  3. Step 3: Cross multiply
    12,313.61x = 16,979.26 × 8,327.80
  4. Step 4: Simplify right side
    12,313.61x = 141,399,914.56
  5. Step 5: Solve for x
    x = 141,399,914.56/12,313.61
  6. Step 6: Final answer
    x = 11,483.22

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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.