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Finding the Fourth Proportional to 13,545.16, 20,326.40 and 5,753.97

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Solution

The fourth proportional to 13,545.16, 20,326.40 and 5,753.97 is: 8,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.16 : 20,326.40 = 5,753.97 : x
  2. Step 2: Convert to fraction form
    13,545.16/20,326.40 = 5,753.97/x
  3. Step 3: Cross multiply
    13,545.16x = 20,326.40 × 5,753.97
  4. Step 4: Simplify right side
    13,545.16x = 116,957,495.81
  5. Step 5: Solve for x
    x = 116,957,495.81/13,545.16
  6. Step 6: Final answer
    x = 8,634.63

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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.