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Finding the Fourth Proportional to 12,283.86, 16,958.10 and 8,310.34

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Solution

The fourth proportional to 12,283.86, 16,958.10 and 8,310.34 is: 11,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.86 : 16,958.10 = 8,310.34 : x
  2. Step 2: Convert to fraction form
    12,283.86/16,958.10 = 8,310.34/x
  3. Step 3: Cross multiply
    12,283.86x = 16,958.10 × 8,310.34
  4. Step 4: Simplify right side
    12,283.86x = 140,927,576.75
  5. Step 5: Solve for x
    x = 140,927,576.75/12,283.86
  6. Step 6: Final answer
    x = 11,472.58

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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.