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Finding the Fourth Proportional to 3,514.28, 5,271.41 and 917.21

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Solution

The fourth proportional to 3,514.28, 5,271.41 and 917.21 is: 1,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.28 : 5,271.41 = 917.21 : x
  2. Step 2: Convert to fraction form
    3,514.28/5,271.41 = 917.21/x
  3. Step 3: Cross multiply
    3,514.28x = 5,271.41 × 917.21
  4. Step 4: Simplify right side
    3,514.28x = 4,835,005.44
  5. Step 5: Solve for x
    x = 4,835,005.44/3,514.28
  6. Step 6: Final answer
    x = 1,375.82

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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.