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Finding the Fourth Proportional to 11,612.80, 17,432.32 and 4,692.16

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Solution

The fourth proportional to 11,612.80, 17,432.32 and 4,692.16 is: 7,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.80 : 17,432.32 = 4,692.16 : x
  2. Step 2: Convert to fraction form
    11,612.80/17,432.32 = 4,692.16/x
  3. Step 3: Cross multiply
    11,612.80x = 17,432.32 × 4,692.16
  4. Step 4: Simplify right side
    11,612.80x = 81,795,234.61
  5. Step 5: Solve for x
    x = 81,795,234.61/11,612.80
  6. Step 6: Final answer
    x = 7,043.54

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