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Finding the Fourth Proportional to 8,729.32, 13,096.42 and 2,890.04

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Solution

The fourth proportional to 8,729.32, 13,096.42 and 2,890.04 is: 4,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.32 : 13,096.42 = 2,890.04 : x
  2. Step 2: Convert to fraction form
    8,729.32/13,096.42 = 2,890.04/x
  3. Step 3: Cross multiply
    8,729.32x = 13,096.42 × 2,890.04
  4. Step 4: Simplify right side
    8,729.32x = 37,849,177.66
  5. Step 5: Solve for x
    x = 37,849,177.66/8,729.32
  6. Step 6: Final answer
    x = 4,335.87

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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.