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Finding the Fourth Proportional to 8,489.51, 12,729.60 and 2,942.36

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Solution

The fourth proportional to 8,489.51, 12,729.60 and 2,942.36 is: 4,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.51 : 12,729.60 = 2,942.36 : x
  2. Step 2: Convert to fraction form
    8,489.51/12,729.60 = 2,942.36/x
  3. Step 3: Cross multiply
    8,489.51x = 12,729.60 × 2,942.36
  4. Step 4: Simplify right side
    8,489.51x = 37,455,002.21
  5. Step 5: Solve for x
    x = 37,455,002.21/8,489.51
  6. Step 6: Final answer
    x = 4,411.92

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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.