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Finding the Fourth Proportional to 12,309, 18,463.50 and 5,013

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Solution

The fourth proportional to 12,309, 18,463.50 and 5,013 is: 7,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309 : 18,463.50 = 5,013 : x
  2. Step 2: Convert to fraction form
    12,309/18,463.50 = 5,013/x
  3. Step 3: Cross multiply
    12,309x = 18,463.50 × 5,013
  4. Step 4: Simplify right side
    12,309x = 92,557,525.50
  5. Step 5: Solve for x
    x = 92,557,525.50/12,309
  6. Step 6: Final answer
    x = 7,519.50

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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.