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Finding the Fourth Proportional to 30,337, 45,505.50 and 8,449

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Solution

The fourth proportional to 30,337, 45,505.50 and 8,449 is: 12,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,337 : 45,505.50 = 8,449 : x
  2. Step 2: Convert to fraction form
    30,337/45,505.50 = 8,449/x
  3. Step 3: Cross multiply
    30,337x = 45,505.50 × 8,449
  4. Step 4: Simplify right side
    30,337x = 384,475,969.50
  5. Step 5: Solve for x
    x = 384,475,969.50/30,337
  6. Step 6: Final answer
    x = 12,673.50

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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.