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Finding the Fourth Proportional to 12,174.67, 18,251.04 and 4,378

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Solution

The fourth proportional to 12,174.67, 18,251.04 and 4,378 is: 6,563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.67 : 18,251.04 = 4,378 : x
  2. Step 2: Convert to fraction form
    12,174.67/18,251.04 = 4,378/x
  3. Step 3: Cross multiply
    12,174.67x = 18,251.04 × 4,378
  4. Step 4: Simplify right side
    12,174.67x = 79,903,053.12
  5. Step 5: Solve for x
    x = 79,903,053.12/12,174.67
  6. Step 6: Final answer
    x = 6,563.06

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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.