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Finding the Fourth Proportional to 34,406.75, 47,491.13 and 20,267.75

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Solution

The fourth proportional to 34,406.75, 47,491.13 and 20,267.75 is: 27,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406.75 : 47,491.13 = 20,267.75 : x
  2. Step 2: Convert to fraction form
    34,406.75/47,491.13 = 20,267.75/x
  3. Step 3: Cross multiply
    34,406.75x = 47,491.13 × 20,267.75
  4. Step 4: Simplify right side
    34,406.75x = 962,538,163.27
  5. Step 5: Solve for x
    x = 962,538,163.27/34,406.75
  6. Step 6: Final answer
    x = 27,975.28

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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.