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Finding the Fourth Proportional to 13,884.37, 20,828.37 and 7,310.91

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Solution

The fourth proportional to 13,884.37, 20,828.37 and 7,310.91 is: 10,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.37 : 20,828.37 = 7,310.91 : x
  2. Step 2: Convert to fraction form
    13,884.37/20,828.37 = 7,310.91/x
  3. Step 3: Cross multiply
    13,884.37x = 20,828.37 × 7,310.91
  4. Step 4: Simplify right side
    13,884.37x = 152,274,338.52
  5. Step 5: Solve for x
    x = 152,274,338.52/13,884.37
  6. Step 6: Final answer
    x = 10,967.32

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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.