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Finding the Fourth Proportional to 13,961.88, 20,908.02 and 9,782.28

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Solution

The fourth proportional to 13,961.88, 20,908.02 and 9,782.28 is: 14,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961.88 : 20,908.02 = 9,782.28 : x
  2. Step 2: Convert to fraction form
    13,961.88/20,908.02 = 9,782.28/x
  3. Step 3: Cross multiply
    13,961.88x = 20,908.02 × 9,782.28
  4. Step 4: Simplify right side
    13,961.88x = 204,528,105.89
  5. Step 5: Solve for x
    x = 204,528,105.89/13,961.88
  6. Step 6: Final answer
    x = 14,649.04

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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.