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Finding the Fourth Proportional to 13,692.75, 18,896 and 7,405.13

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Solution

The fourth proportional to 13,692.75, 18,896 and 7,405.13 is: 10,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.75 : 18,896 = 7,405.13 : x
  2. Step 2: Convert to fraction form
    13,692.75/18,896 = 7,405.13/x
  3. Step 3: Cross multiply
    13,692.75x = 18,896 × 7,405.13
  4. Step 4: Simplify right side
    13,692.75x = 139,927,336.48
  5. Step 5: Solve for x
    x = 139,927,336.48/13,692.75
  6. Step 6: Final answer
    x = 10,219.08

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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.