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Finding the Fourth Proportional to 11,142.72, 16,714.08 and 3,745.08

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Solution

The fourth proportional to 11,142.72, 16,714.08 and 3,745.08 is: 5,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.72 : 16,714.08 = 3,745.08 : x
  2. Step 2: Convert to fraction form
    11,142.72/16,714.08 = 3,745.08/x
  3. Step 3: Cross multiply
    11,142.72x = 16,714.08 × 3,745.08
  4. Step 4: Simplify right side
    11,142.72x = 62,595,566.73
  5. Step 5: Solve for x
    x = 62,595,566.73/11,142.72
  6. Step 6: Final answer
    x = 5,617.62

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1.5x scale

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.