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Finding the Fourth Proportional to 11,998.01, 17,960.11 and 7,829.04

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Solution

The fourth proportional to 11,998.01, 17,960.11 and 7,829.04 is: 11,719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.01 : 17,960.11 = 7,829.04 : x
  2. Step 2: Convert to fraction form
    11,998.01/17,960.11 = 7,829.04/x
  3. Step 3: Cross multiply
    11,998.01x = 17,960.11 × 7,829.04
  4. Step 4: Simplify right side
    11,998.01x = 140,610,419.59
  5. Step 5: Solve for x
    x = 140,610,419.59/11,998.01
  6. Step 6: Final answer
    x = 11,719.48

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1.5x scale

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.