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Finding the Fourth Proportional to 11,779, 16,254.74 and 6,473.76

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Solution

The fourth proportional to 11,779, 16,254.74 and 6,473.76 is: 8,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779 : 16,254.74 = 6,473.76 : x
  2. Step 2: Convert to fraction form
    11,779/16,254.74 = 6,473.76/x
  3. Step 3: Cross multiply
    11,779x = 16,254.74 × 6,473.76
  4. Step 4: Simplify right side
    11,779x = 105,229,285.62
  5. Step 5: Solve for x
    x = 105,229,285.62/11,779
  6. Step 6: Final answer
    x = 8,933.63

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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.