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Finding the Fourth Proportional to 13,216.45, 19,785.80 and 8,823.01

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Solution

The fourth proportional to 13,216.45, 19,785.80 and 8,823.01 is: 13,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216.45 : 19,785.80 = 8,823.01 : x
  2. Step 2: Convert to fraction form
    13,216.45/19,785.80 = 8,823.01/x
  3. Step 3: Cross multiply
    13,216.45x = 19,785.80 × 8,823.01
  4. Step 4: Simplify right side
    13,216.45x = 174,570,311.26
  5. Step 5: Solve for x
    x = 174,570,311.26/13,216.45
  6. Step 6: Final answer
    x = 13,208.56

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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.