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Finding the Fourth Proportional to 12,084, 16,675.80 and 6,778.86

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Solution

The fourth proportional to 12,084, 16,675.80 and 6,778.86 is: 9,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084 : 16,675.80 = 6,778.86 : x
  2. Step 2: Convert to fraction form
    12,084/16,675.80 = 6,778.86/x
  3. Step 3: Cross multiply
    12,084x = 16,675.80 × 6,778.86
  4. Step 4: Simplify right side
    12,084x = 113,042,913.59
  5. Step 5: Solve for x
    x = 113,042,913.59/12,084
  6. Step 6: Final answer
    x = 9,354.76

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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.