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Finding the Fourth Proportional to 11,775.40, 17,663.10 and 3,984.10

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Solution

The fourth proportional to 11,775.40, 17,663.10 and 3,984.10 is: 5,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.40 : 17,663.10 = 3,984.10 : x
  2. Step 2: Convert to fraction form
    11,775.40/17,663.10 = 3,984.10/x
  3. Step 3: Cross multiply
    11,775.40x = 17,663.10 × 3,984.10
  4. Step 4: Simplify right side
    11,775.40x = 70,371,556.71
  5. Step 5: Solve for x
    x = 70,371,556.71/11,775.40
  6. Step 6: Final answer
    x = 5,976.15

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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.