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Finding the Fourth Proportional to 11,775.79, 17,665.40 and 3,981.97

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Solution

The fourth proportional to 11,775.79, 17,665.40 and 3,981.97 is: 5,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.79 : 17,665.40 = 3,981.97 : x
  2. Step 2: Convert to fraction form
    11,775.79/17,665.40 = 3,981.97/x
  3. Step 3: Cross multiply
    11,775.79x = 17,665.40 × 3,981.97
  4. Step 4: Simplify right side
    11,775.79x = 70,343,092.84
  5. Step 5: Solve for x
    x = 70,343,092.84/11,775.79
  6. Step 6: Final answer
    x = 5,973.53

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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.