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Finding the Fourth Proportional to 12,762.98, 19,144.47 and 3,998.58

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Solution

The fourth proportional to 12,762.98, 19,144.47 and 3,998.58 is: 5,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.98 : 19,144.47 = 3,998.58 : x
  2. Step 2: Convert to fraction form
    12,762.98/19,144.47 = 3,998.58/x
  3. Step 3: Cross multiply
    12,762.98x = 19,144.47 × 3,998.58
  4. Step 4: Simplify right side
    12,762.98x = 76,550,694.85
  5. Step 5: Solve for x
    x = 76,550,694.85/12,762.98
  6. Step 6: Final answer
    x = 5,997.87

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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.