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Finding the Fourth Proportional to 11,751, 16,216.34 and 6,445.82

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Solution

The fourth proportional to 11,751, 16,216.34 and 6,445.82 is: 8,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751 : 16,216.34 = 6,445.82 : x
  2. Step 2: Convert to fraction form
    11,751/16,216.34 = 6,445.82/x
  3. Step 3: Cross multiply
    11,751x = 16,216.34 × 6,445.82
  4. Step 4: Simplify right side
    11,751x = 104,527,608.70
  5. Step 5: Solve for x
    x = 104,527,608.70/11,751
  6. Step 6: Final answer
    x = 8,895.21

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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.