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Finding the Fourth Proportional to 17,826.40, 26,761.20 and 17,696.80

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Solution

The fourth proportional to 17,826.40, 26,761.20 and 17,696.80 is: 26,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.40 : 26,761.20 = 17,696.80 : x
  2. Step 2: Convert to fraction form
    17,826.40/26,761.20 = 17,696.80/x
  3. Step 3: Cross multiply
    17,826.40x = 26,761.20 × 17,696.80
  4. Step 4: Simplify right side
    17,826.40x = 473,587,604.16
  5. Step 5: Solve for x
    x = 473,587,604.16/17,826.40
  6. Step 6: Final answer
    x = 26,566.64

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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.