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Finding the Fourth Proportional to 21,271.80, 29,355.56 and 11,841

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Solution

The fourth proportional to 21,271.80, 29,355.56 and 11,841 is: 16,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,271.80 : 29,355.56 = 11,841 : x
  2. Step 2: Convert to fraction form
    21,271.80/29,355.56 = 11,841/x
  3. Step 3: Cross multiply
    21,271.80x = 29,355.56 × 11,841
  4. Step 4: Simplify right side
    21,271.80x = 347,599,185.96
  5. Step 5: Solve for x
    x = 347,599,185.96/21,271.80
  6. Step 6: Final answer
    x = 16,340.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.