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Finding the Fourth Proportional to 8,174, 11,280.12 and 4,862

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Solution

The fourth proportional to 8,174, 11,280.12 and 4,862 is: 6,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174 : 11,280.12 = 4,862 : x
  2. Step 2: Convert to fraction form
    8,174/11,280.12 = 4,862/x
  3. Step 3: Cross multiply
    8,174x = 11,280.12 × 4,862
  4. Step 4: Simplify right side
    8,174x = 54,843,943.44
  5. Step 5: Solve for x
    x = 54,843,943.44/8,174
  6. Step 6: Final answer
    x = 6,709.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.