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Finding the Fourth Proportional to 18,530.34, 25,575.82 and 11,814.42

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Solution

The fourth proportional to 18,530.34, 25,575.82 and 11,814.42 is: 16,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,530.34 : 25,575.82 = 11,814.42 : x
  2. Step 2: Convert to fraction form
    18,530.34/25,575.82 = 11,814.42/x
  3. Step 3: Cross multiply
    18,530.34x = 25,575.82 × 11,814.42
  4. Step 4: Simplify right side
    18,530.34x = 302,163,479.32
  5. Step 5: Solve for x
    x = 302,163,479.32/18,530.34
  6. Step 6: Final answer
    x = 16,306.42

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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.