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Finding the Fourth Proportional to 12,829.80, 19,212.30 and 10,237.80

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Solution

The fourth proportional to 12,829.80, 19,212.30 and 10,237.80 is: 15,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.80 : 19,212.30 = 10,237.80 : x
  2. Step 2: Convert to fraction form
    12,829.80/19,212.30 = 10,237.80/x
  3. Step 3: Cross multiply
    12,829.80x = 19,212.30 × 10,237.80
  4. Step 4: Simplify right side
    12,829.80x = 196,691,684.94
  5. Step 5: Solve for x
    x = 196,691,684.94/12,829.80
  6. Step 6: Final answer
    x = 15,330.85

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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.