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Finding the Fourth Proportional to 14,493, 20,000.75 and 8,205.78

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Solution

The fourth proportional to 14,493, 20,000.75 and 8,205.78 is: 11,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493 : 20,000.75 = 8,205.78 : x
  2. Step 2: Convert to fraction form
    14,493/20,000.75 = 8,205.78/x
  3. Step 3: Cross multiply
    14,493x = 20,000.75 × 8,205.78
  4. Step 4: Simplify right side
    14,493x = 164,121,713.31
  5. Step 5: Solve for x
    x = 164,121,713.31/14,493
  6. Step 6: Final answer
    x = 11,324.21

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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.