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Finding the Fourth Proportional to 12,489.42, 17,234.88 and 6,824.04

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Solution

The fourth proportional to 12,489.42, 17,234.88 and 6,824.04 is: 9,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.42 : 17,234.88 = 6,824.04 : x
  2. Step 2: Convert to fraction form
    12,489.42/17,234.88 = 6,824.04/x
  3. Step 3: Cross multiply
    12,489.42x = 17,234.88 × 6,824.04
  4. Step 4: Simplify right side
    12,489.42x = 117,611,510.52
  5. Step 5: Solve for x
    x = 117,611,510.52/12,489.42
  6. Step 6: Final answer
    x = 9,416.89

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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.