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Finding the Fourth Proportional to 19,409.80, 26,781.22 and 13,431.88

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Solution

The fourth proportional to 19,409.80, 26,781.22 and 13,431.88 is: 18,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.80 : 26,781.22 = 13,431.88 : x
  2. Step 2: Convert to fraction form
    19,409.80/26,781.22 = 13,431.88/x
  3. Step 3: Cross multiply
    19,409.80x = 26,781.22 × 13,431.88
  4. Step 4: Simplify right side
    19,409.80x = 359,722,133.29
  5. Step 5: Solve for x
    x = 359,722,133.29/19,409.80
  6. Step 6: Final answer
    x = 18,533.02

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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.