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Finding the Fourth Proportional to 22,458.24, 30,992.40 and 13,505.84

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Solution

The fourth proportional to 22,458.24, 30,992.40 and 13,505.84 is: 18,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,458.24 : 30,992.40 = 13,505.84 : x
  2. Step 2: Convert to fraction form
    22,458.24/30,992.40 = 13,505.84/x
  3. Step 3: Cross multiply
    22,458.24x = 30,992.40 × 13,505.84
  4. Step 4: Simplify right side
    22,458.24x = 418,578,395.62
  5. Step 5: Solve for x
    x = 418,578,395.62/22,458.24
  6. Step 6: Final answer
    x = 18,638.08

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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.