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Finding the Fourth Proportional to 11,790, 17,685.12 and 3,582

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Solution

The fourth proportional to 11,790, 17,685.12 and 3,582 is: 5,373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790 : 17,685.12 = 3,582 : x
  2. Step 2: Convert to fraction form
    11,790/17,685.12 = 3,582/x
  3. Step 3: Cross multiply
    11,790x = 17,685.12 × 3,582
  4. Step 4: Simplify right side
    11,790x = 63,348,099.84
  5. Step 5: Solve for x
    x = 63,348,099.84/11,790
  6. Step 6: Final answer
    x = 5,373.04

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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.