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Finding the Fourth Proportional to 12,242.88, 16,893.90 and 7,206.80

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Solution

The fourth proportional to 12,242.88, 16,893.90 and 7,206.80 is: 9,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.88 : 16,893.90 = 7,206.80 : x
  2. Step 2: Convert to fraction form
    12,242.88/16,893.90 = 7,206.80/x
  3. Step 3: Cross multiply
    12,242.88x = 16,893.90 × 7,206.80
  4. Step 4: Simplify right side
    12,242.88x = 121,750,958.52
  5. Step 5: Solve for x
    x = 121,750,958.52/12,242.88
  6. Step 6: Final answer
    x = 9,944.63

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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.