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Finding the Fourth Proportional to 13,383.40, 20,096.70 and 9,711.40

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Solution

The fourth proportional to 13,383.40, 20,096.70 and 9,711.40 is: 14,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.40 : 20,096.70 = 9,711.40 : x
  2. Step 2: Convert to fraction form
    13,383.40/20,096.70 = 9,711.40/x
  3. Step 3: Cross multiply
    13,383.40x = 20,096.70 × 9,711.40
  4. Step 4: Simplify right side
    13,383.40x = 195,167,092.38
  5. Step 5: Solve for x
    x = 195,167,092.38/13,383.40
  6. Step 6: Final answer
    x = 14,582.77

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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.