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Finding the Fourth Proportional to 17,871.40, 26,720.70 and 13,205.80

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Solution

The fourth proportional to 17,871.40, 26,720.70 and 13,205.80 is: 19,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.40 : 26,720.70 = 13,205.80 : x
  2. Step 2: Convert to fraction form
    17,871.40/26,720.70 = 13,205.80/x
  3. Step 3: Cross multiply
    17,871.40x = 26,720.70 × 13,205.80
  4. Step 4: Simplify right side
    17,871.40x = 352,868,220.06
  5. Step 5: Solve for x
    x = 352,868,220.06/17,871.40
  6. Step 6: Final answer
    x = 19,744.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.