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Finding the Fourth Proportional to 12,623.75, 17,420.78 and 7,321.64

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Solution

The fourth proportional to 12,623.75, 17,420.78 and 7,321.64 is: 10,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,623.75 : 17,420.78 = 7,321.64 : x
  2. Step 2: Convert to fraction form
    12,623.75/17,420.78 = 7,321.64/x
  3. Step 3: Cross multiply
    12,623.75x = 17,420.78 × 7,321.64
  4. Step 4: Simplify right side
    12,623.75x = 127,548,679.68
  5. Step 5: Solve for x
    x = 127,548,679.68/12,623.75
  6. Step 6: Final answer
    x = 10,103.87

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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.