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Finding the Fourth Proportional to 21,618, 32,408.44 and 7,576.08

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Solution

The fourth proportional to 21,618, 32,408.44 and 7,576.08 is: 11,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,618 : 32,408.44 = 7,576.08 : x
  2. Step 2: Convert to fraction form
    21,618/32,408.44 = 7,576.08/x
  3. Step 3: Cross multiply
    21,618x = 32,408.44 × 7,576.08
  4. Step 4: Simplify right side
    21,618x = 245,528,934.12
  5. Step 5: Solve for x
    x = 245,528,934.12/21,618
  6. Step 6: Final answer
    x = 11,357.62

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Why These Related Problems?

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