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Finding the Fourth Proportional to 12,489, 17,234.82 and 6,900.84

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Solution

The fourth proportional to 12,489, 17,234.82 and 6,900.84 is: 9,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489 : 17,234.82 = 6,900.84 : x
  2. Step 2: Convert to fraction form
    12,489/17,234.82 = 6,900.84/x
  3. Step 3: Cross multiply
    12,489x = 17,234.82 × 6,900.84
  4. Step 4: Simplify right side
    12,489x = 118,934,735.25
  5. Step 5: Solve for x
    x = 118,934,735.25/12,489
  6. Step 6: Final answer
    x = 9,523.16

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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.