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Finding the Fourth Proportional to 12,829.68, 19,230.12 and 8,395.84

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Solution

The fourth proportional to 12,829.68, 19,230.12 and 8,395.84 is: 12,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.68 : 19,230.12 = 8,395.84 : x
  2. Step 2: Convert to fraction form
    12,829.68/19,230.12 = 8,395.84/x
  3. Step 3: Cross multiply
    12,829.68x = 19,230.12 × 8,395.84
  4. Step 4: Simplify right side
    12,829.68x = 161,453,010.70
  5. Step 5: Solve for x
    x = 161,453,010.70/12,829.68
  6. Step 6: Final answer
    x = 12,584.34

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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.