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Finding the Fourth Proportional to 8,005.26, 12,009.64 and 2,459

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Solution

The fourth proportional to 8,005.26, 12,009.64 and 2,459 is: 3,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.26 : 12,009.64 = 2,459 : x
  2. Step 2: Convert to fraction form
    8,005.26/12,009.64 = 2,459/x
  3. Step 3: Cross multiply
    8,005.26x = 12,009.64 × 2,459
  4. Step 4: Simplify right side
    8,005.26x = 29,531,704.76
  5. Step 5: Solve for x
    x = 29,531,704.76/8,005.26
  6. Step 6: Final answer
    x = 3,689.04

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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.