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Finding the Fourth Proportional to 11,764, 16,234.24 and 6,458.88

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Solution

The fourth proportional to 11,764, 16,234.24 and 6,458.88 is: 8,913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764 : 16,234.24 = 6,458.88 : x
  2. Step 2: Convert to fraction form
    11,764/16,234.24 = 6,458.88/x
  3. Step 3: Cross multiply
    11,764x = 16,234.24 × 6,458.88
  4. Step 4: Simplify right side
    11,764x = 104,855,008.05
  5. Step 5: Solve for x
    x = 104,855,008.05/11,764
  6. Step 6: Final answer
    x = 8,913.21

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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.