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Finding the Fourth Proportional to 13,980.38, 19,293.18 and 7,692.62

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Solution

The fourth proportional to 13,980.38, 19,293.18 and 7,692.62 is: 10,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.38 : 19,293.18 = 7,692.62 : x
  2. Step 2: Convert to fraction form
    13,980.38/19,293.18 = 7,692.62/x
  3. Step 3: Cross multiply
    13,980.38x = 19,293.18 × 7,692.62
  4. Step 4: Simplify right side
    13,980.38x = 148,415,102.33
  5. Step 5: Solve for x
    x = 148,415,102.33/13,980.38
  6. Step 6: Final answer
    x = 10,615.96

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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.