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Finding the Fourth Proportional to 12,778.21, 17,629.95 and 7,472.44

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Solution

The fourth proportional to 12,778.21, 17,629.95 and 7,472.44 is: 10,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.21 : 17,629.95 = 7,472.44 : x
  2. Step 2: Convert to fraction form
    12,778.21/17,629.95 = 7,472.44/x
  3. Step 3: Cross multiply
    12,778.21x = 17,629.95 × 7,472.44
  4. Step 4: Simplify right side
    12,778.21x = 131,738,743.58
  5. Step 5: Solve for x
    x = 131,738,743.58/12,778.21
  6. Step 6: Final answer
    x = 10,309.64

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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.