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Finding the Fourth Proportional to 13,213.80, 19,782.30 and 12,829.80

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Solution

The fourth proportional to 13,213.80, 19,782.30 and 12,829.80 is: 19,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.80 : 19,782.30 = 12,829.80 : x
  2. Step 2: Convert to fraction form
    13,213.80/19,782.30 = 12,829.80/x
  3. Step 3: Cross multiply
    13,213.80x = 19,782.30 × 12,829.80
  4. Step 4: Simplify right side
    13,213.80x = 253,802,952.54
  5. Step 5: Solve for x
    x = 253,802,952.54/13,213.80
  6. Step 6: Final answer
    x = 19,207.42

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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.