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Finding the Fourth Proportional to 12,692.32, 19,001 and 7,997.96

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Solution

The fourth proportional to 12,692.32, 19,001 and 7,997.96 is: 11,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.32 : 19,001 = 7,997.96 : x
  2. Step 2: Convert to fraction form
    12,692.32/19,001 = 7,997.96/x
  3. Step 3: Cross multiply
    12,692.32x = 19,001 × 7,997.96
  4. Step 4: Simplify right side
    12,692.32x = 151,969,237.96
  5. Step 5: Solve for x
    x = 151,969,237.96/12,692.32
  6. Step 6: Final answer
    x = 11,973.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.