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Finding the Fourth Proportional to 12,692.56, 17,514.76 and 7,102.80

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Solution

The fourth proportional to 12,692.56, 17,514.76 and 7,102.80 is: 9,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.56 : 17,514.76 = 7,102.80 : x
  2. Step 2: Convert to fraction form
    12,692.56/17,514.76 = 7,102.80/x
  3. Step 3: Cross multiply
    12,692.56x = 17,514.76 × 7,102.80
  4. Step 4: Simplify right side
    12,692.56x = 124,403,837.33
  5. Step 5: Solve for x
    x = 124,403,837.33/12,692.56
  6. Step 6: Final answer
    x = 9,801.32

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