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Finding the Fourth Proportional to 23,156, 34,780.64 and 13,814.28

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Solution

The fourth proportional to 23,156, 34,780.64 and 13,814.28 is: 20,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156 : 34,780.64 = 13,814.28 : x
  2. Step 2: Convert to fraction form
    23,156/34,780.64 = 13,814.28/x
  3. Step 3: Cross multiply
    23,156x = 34,780.64 × 13,814.28
  4. Step 4: Simplify right side
    23,156x = 480,469,499.54
  5. Step 5: Solve for x
    x = 480,469,499.54/23,156
  6. Step 6: Final answer
    x = 20,749.24

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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.