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Finding the Fourth Proportional to 12,362.42, 18,538 and 5,339.09

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Solution

The fourth proportional to 12,362.42, 18,538 and 5,339.09 is: 8,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.42 : 18,538 = 5,339.09 : x
  2. Step 2: Convert to fraction form
    12,362.42/18,538 = 5,339.09/x
  3. Step 3: Cross multiply
    12,362.42x = 18,538 × 5,339.09
  4. Step 4: Simplify right side
    12,362.42x = 98,976,050.42
  5. Step 5: Solve for x
    x = 98,976,050.42/12,362.42
  6. Step 6: Final answer
    x = 8,006.20

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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.