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Finding the Fourth Proportional to 13,692.80, 18,896 and 7,405.12

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Solution

The fourth proportional to 13,692.80, 18,896 and 7,405.12 is: 10,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.80 : 18,896 = 7,405.12 : x
  2. Step 2: Convert to fraction form
    13,692.80/18,896 = 7,405.12/x
  3. Step 3: Cross multiply
    13,692.80x = 18,896 × 7,405.12
  4. Step 4: Simplify right side
    13,692.80x = 139,927,147.52
  5. Step 5: Solve for x
    x = 139,927,147.52/13,692.80
  6. Step 6: Final answer
    x = 10,219.03

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Why These Related Problems?

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