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Finding the Fourth Proportional to 8,729.65, 13,094.58 and 2,489.80

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Solution

The fourth proportional to 8,729.65, 13,094.58 and 2,489.80 is: 3,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.65 : 13,094.58 = 2,489.80 : x
  2. Step 2: Convert to fraction form
    8,729.65/13,094.58 = 2,489.80/x
  3. Step 3: Cross multiply
    8,729.65x = 13,094.58 × 2,489.80
  4. Step 4: Simplify right side
    8,729.65x = 32,602,885.28
  5. Step 5: Solve for x
    x = 32,602,885.28/8,729.65
  6. Step 6: Final answer
    x = 3,734.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.