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Finding the Fourth Proportional to 3,514.72, 5,272.36 and 917.68

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Solution

The fourth proportional to 3,514.72, 5,272.36 and 917.68 is: 1,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.72 : 5,272.36 = 917.68 : x
  2. Step 2: Convert to fraction form
    3,514.72/5,272.36 = 917.68/x
  3. Step 3: Cross multiply
    3,514.72x = 5,272.36 × 917.68
  4. Step 4: Simplify right side
    3,514.72x = 4,838,339.32
  5. Step 5: Solve for x
    x = 4,838,339.32/3,514.72
  6. Step 6: Final answer
    x = 1,376.59

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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.