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Finding the Fourth Proportional to 13,563.50, 20,437.67 and 11,152.33

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Solution

The fourth proportional to 13,563.50, 20,437.67 and 11,152.33 is: 16,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.50 : 20,437.67 = 11,152.33 : x
  2. Step 2: Convert to fraction form
    13,563.50/20,437.67 = 11,152.33/x
  3. Step 3: Cross multiply
    13,563.50x = 20,437.67 × 11,152.33
  4. Step 4: Simplify right side
    13,563.50x = 227,927,669.29
  5. Step 5: Solve for x
    x = 227,927,669.29/13,563.50
  6. Step 6: Final answer
    x = 16,804.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.