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Finding the Fourth Proportional to 14,744.31, 20,343.98 and 8,774.81

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Solution

The fourth proportional to 14,744.31, 20,343.98 and 8,774.81 is: 12,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.31 : 20,343.98 = 8,774.81 : x
  2. Step 2: Convert to fraction form
    14,744.31/20,343.98 = 8,774.81/x
  3. Step 3: Cross multiply
    14,744.31x = 20,343.98 × 8,774.81
  4. Step 4: Simplify right side
    14,744.31x = 178,514,413.55
  5. Step 5: Solve for x
    x = 178,514,413.55/14,744.31
  6. Step 6: Final answer
    x = 12,107.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.