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Finding the Fourth Proportional to 12,778.63, 17,634.50 and 7,189.63

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Solution

The fourth proportional to 12,778.63, 17,634.50 and 7,189.63 is: 9,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.63 : 17,634.50 = 7,189.63 : x
  2. Step 2: Convert to fraction form
    12,778.63/17,634.50 = 7,189.63/x
  3. Step 3: Cross multiply
    12,778.63x = 17,634.50 × 7,189.63
  4. Step 4: Simplify right side
    12,778.63x = 126,785,530.24
  5. Step 5: Solve for x
    x = 126,785,530.24/12,778.63
  6. Step 6: Final answer
    x = 9,921.68

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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.