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Finding the Fourth Proportional to 21,187.82, 31,769.26 and 8,041.11

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Solution

The fourth proportional to 21,187.82, 31,769.26 and 8,041.11 is: 12,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.82 : 31,769.26 = 8,041.11 : x
  2. Step 2: Convert to fraction form
    21,187.82/31,769.26 = 8,041.11/x
  3. Step 3: Cross multiply
    21,187.82x = 31,769.26 × 8,041.11
  4. Step 4: Simplify right side
    21,187.82x = 255,460,114.28
  5. Step 5: Solve for x
    x = 255,460,114.28/21,187.82
  6. Step 6: Final answer
    x = 12,056.93

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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.