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Finding the Fourth Proportional to 13,692.57, 20,533.83 and 6,670.47

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Solution

The fourth proportional to 13,692.57, 20,533.83 and 6,670.47 is: 10,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.57 : 20,533.83 = 6,670.47 : x
  2. Step 2: Convert to fraction form
    13,692.57/20,533.83 = 6,670.47/x
  3. Step 3: Cross multiply
    13,692.57x = 20,533.83 × 6,670.47
  4. Step 4: Simplify right side
    13,692.57x = 136,970,297.00
  5. Step 5: Solve for x
    x = 136,970,297.00/13,692.57
  6. Step 6: Final answer
    x = 10,003.26

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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.