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Finding the Fourth Proportional to 11,892.80, 17,882.40 and 11,633.60

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Solution

The fourth proportional to 11,892.80, 17,882.40 and 11,633.60 is: 17,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.80 : 17,882.40 = 11,633.60 : x
  2. Step 2: Convert to fraction form
    11,892.80/17,882.40 = 11,633.60/x
  3. Step 3: Cross multiply
    11,892.80x = 17,882.40 × 11,633.60
  4. Step 4: Simplify right side
    11,892.80x = 208,036,688.64
  5. Step 5: Solve for x
    x = 208,036,688.64/11,892.80
  6. Step 6: Final answer
    x = 17,492.66

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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.