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Finding the Fourth Proportional to 14,512.82, 21,778.92 and 5,278.82

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Solution

The fourth proportional to 14,512.82, 21,778.92 and 5,278.82 is: 7,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.82 : 21,778.92 = 5,278.82 : x
  2. Step 2: Convert to fraction form
    14,512.82/21,778.92 = 5,278.82/x
  3. Step 3: Cross multiply
    14,512.82x = 21,778.92 × 5,278.82
  4. Step 4: Simplify right side
    14,512.82x = 114,966,889.58
  5. Step 5: Solve for x
    x = 114,966,889.58/14,512.82
  6. Step 6: Final answer
    x = 7,921.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.