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Finding the Fourth Proportional to 12,823.32, 17,692.23 and 7,514.40

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Solution

The fourth proportional to 12,823.32, 17,692.23 and 7,514.40 is: 10,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.32 : 17,692.23 = 7,514.40 : x
  2. Step 2: Convert to fraction form
    12,823.32/17,692.23 = 7,514.40/x
  3. Step 3: Cross multiply
    12,823.32x = 17,692.23 × 7,514.40
  4. Step 4: Simplify right side
    12,823.32x = 132,946,493.11
  5. Step 5: Solve for x
    x = 132,946,493.11/12,823.32
  6. Step 6: Final answer
    x = 10,367.56

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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.