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Finding the Fourth Proportional to 13,920.51, 20,855.64 and 9,229.41

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Solution

The fourth proportional to 13,920.51, 20,855.64 and 9,229.41 is: 13,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.51 : 20,855.64 = 9,229.41 : x
  2. Step 2: Convert to fraction form
    13,920.51/20,855.64 = 9,229.41/x
  3. Step 3: Cross multiply
    13,920.51x = 20,855.64 × 9,229.41
  4. Step 4: Simplify right side
    13,920.51x = 192,485,252.37
  5. Step 5: Solve for x
    x = 192,485,252.37/13,920.51
  6. Step 6: Final answer
    x = 13,827.46

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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.