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Finding the Fourth Proportional to 12,208.90, 16,837.68 and 7,958.32

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Solution

The fourth proportional to 12,208.90, 16,837.68 and 7,958.32 is: 10,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.90 : 16,837.68 = 7,958.32 : x
  2. Step 2: Convert to fraction form
    12,208.90/16,837.68 = 7,958.32/x
  3. Step 3: Cross multiply
    12,208.90x = 16,837.68 × 7,958.32
  4. Step 4: Simplify right side
    12,208.90x = 133,999,645.50
  5. Step 5: Solve for x
    x = 133,999,645.50/12,208.90
  6. Step 6: Final answer
    x = 10,975.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.