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Finding the Fourth Proportional to 8,337, 12,509.34 and 3,142.44

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Solution

The fourth proportional to 8,337, 12,509.34 and 3,142.44 is: 4,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337 : 12,509.34 = 3,142.44 : x
  2. Step 2: Convert to fraction form
    8,337/12,509.34 = 3,142.44/x
  3. Step 3: Cross multiply
    8,337x = 12,509.34 × 3,142.44
  4. Step 4: Simplify right side
    8,337x = 39,309,850.39
  5. Step 5: Solve for x
    x = 39,309,850.39/8,337
  6. Step 6: Final answer
    x = 4,715.11

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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.