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Finding the Fourth Proportional to 19,887.84, 27,446.56 and 13,161.84

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Solution

The fourth proportional to 19,887.84, 27,446.56 and 13,161.84 is: 18,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,887.84 : 27,446.56 = 13,161.84 : x
  2. Step 2: Convert to fraction form
    19,887.84/27,446.56 = 13,161.84/x
  3. Step 3: Cross multiply
    19,887.84x = 27,446.56 × 13,161.84
  4. Step 4: Simplify right side
    19,887.84x = 361,247,231.27
  5. Step 5: Solve for x
    x = 361,247,231.27/19,887.84
  6. Step 6: Final answer
    x = 18,164.23

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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.