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Finding the Fourth Proportional to 6,514.50, 8,991.64 and 3,721.62

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Solution

The fourth proportional to 6,514.50, 8,991.64 and 3,721.62 is: 5,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.50 : 8,991.64 = 3,721.62 : x
  2. Step 2: Convert to fraction form
    6,514.50/8,991.64 = 3,721.62/x
  3. Step 3: Cross multiply
    6,514.50x = 8,991.64 × 3,721.62
  4. Step 4: Simplify right side
    6,514.50x = 33,463,467.26
  5. Step 5: Solve for x
    x = 33,463,467.26/6,514.50
  6. Step 6: Final answer
    x = 5,136.77

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1.5x scale

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.