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Finding the Fourth Proportional to 13,772.94, 20,751.32 and 12,458.22

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Solution

The fourth proportional to 13,772.94, 20,751.32 and 12,458.22 is: 18,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.94 : 20,751.32 = 12,458.22 : x
  2. Step 2: Convert to fraction form
    13,772.94/20,751.32 = 12,458.22/x
  3. Step 3: Cross multiply
    13,772.94x = 20,751.32 × 12,458.22
  4. Step 4: Simplify right side
    13,772.94x = 258,524,509.85
  5. Step 5: Solve for x
    x = 258,524,509.85/13,772.94
  6. Step 6: Final answer
    x = 18,770.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.