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Finding the Fourth Proportional to 11,754.60, 16,221.28 and 6,449.28

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Solution

The fourth proportional to 11,754.60, 16,221.28 and 6,449.28 is: 8,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.60 : 16,221.28 = 6,449.28 : x
  2. Step 2: Convert to fraction form
    11,754.60/16,221.28 = 6,449.28/x
  3. Step 3: Cross multiply
    11,754.60x = 16,221.28 × 6,449.28
  4. Step 4: Simplify right side
    11,754.60x = 104,615,576.68
  5. Step 5: Solve for x
    x = 104,615,576.68/11,754.60
  6. Step 6: Final answer
    x = 8,899.97

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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.