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Finding the Fourth Proportional to 13,993.04, 20,993.65 and 5,225.94

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Solution

The fourth proportional to 13,993.04, 20,993.65 and 5,225.94 is: 7,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.04 : 20,993.65 = 5,225.94 : x
  2. Step 2: Convert to fraction form
    13,993.04/20,993.65 = 5,225.94/x
  3. Step 3: Cross multiply
    13,993.04x = 20,993.65 × 5,225.94
  4. Step 4: Simplify right side
    13,993.04x = 109,711,542.22
  5. Step 5: Solve for x
    x = 109,711,542.22/13,993.04
  6. Step 6: Final answer
    x = 7,840.44

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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.