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Finding the Fourth Proportional to 23,790, 35,689.84 and 8,205.60

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Solution

The fourth proportional to 23,790, 35,689.84 and 8,205.60 is: 12,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,790 : 35,689.84 = 8,205.60 : x
  2. Step 2: Convert to fraction form
    23,790/35,689.84 = 8,205.60/x
  3. Step 3: Cross multiply
    23,790x = 35,689.84 × 8,205.60
  4. Step 4: Simplify right side
    23,790x = 292,856,551.10
  5. Step 5: Solve for x
    x = 292,856,551.10/23,790
  6. Step 6: Final answer
    x = 12,310.07

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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.