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Finding the Fourth Proportional to 13,793.00, 20,689.54 and 9,142.54

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Solution

The fourth proportional to 13,793.00, 20,689.54 and 9,142.54 is: 13,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.00 : 20,689.54 = 9,142.54 : x
  2. Step 2: Convert to fraction form
    13,793.00/20,689.54 = 9,142.54/x
  3. Step 3: Cross multiply
    13,793.00x = 20,689.54 × 9,142.54
  4. Step 4: Simplify right side
    13,793.00x = 189,154,872.45
  5. Step 5: Solve for x
    x = 189,154,872.45/13,793.00
  6. Step 6: Final answer
    x = 13,713.84

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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.