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Finding the Fourth Proportional to 21,187.84, 29,237.92 and 11,755.84

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Solution

The fourth proportional to 21,187.84, 29,237.92 and 11,755.84 is: 16,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.84 : 29,237.92 = 11,755.84 : x
  2. Step 2: Convert to fraction form
    21,187.84/29,237.92 = 11,755.84/x
  3. Step 3: Cross multiply
    21,187.84x = 29,237.92 × 11,755.84
  4. Step 4: Simplify right side
    21,187.84x = 343,716,309.45
  5. Step 5: Solve for x
    x = 343,716,309.45/21,187.84
  6. Step 6: Final answer
    x = 16,222.34

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1.5x scale

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.