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Finding the Fourth Proportional to 12,313.88, 16,982.42 and 8,005.14

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Solution

The fourth proportional to 12,313.88, 16,982.42 and 8,005.14 is: 11,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.88 : 16,982.42 = 8,005.14 : x
  2. Step 2: Convert to fraction form
    12,313.88/16,982.42 = 8,005.14/x
  3. Step 3: Cross multiply
    12,313.88x = 16,982.42 × 8,005.14
  4. Step 4: Simplify right side
    12,313.88x = 135,946,649.64
  5. Step 5: Solve for x
    x = 135,946,649.64/12,313.88
  6. Step 6: Final answer
    x = 11,040.11

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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.