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Finding the Fourth Proportional to 12,790.22, 19,173 and 6,553.16

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Solution

The fourth proportional to 12,790.22, 19,173 and 6,553.16 is: 9,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790.22 : 19,173 = 6,553.16 : x
  2. Step 2: Convert to fraction form
    12,790.22/19,173 = 6,553.16/x
  3. Step 3: Cross multiply
    12,790.22x = 19,173 × 6,553.16
  4. Step 4: Simplify right side
    12,790.22x = 125,643,736.68
  5. Step 5: Solve for x
    x = 125,643,736.68/12,790.22
  6. Step 6: Final answer
    x = 9,823.42

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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.