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Finding the Fourth Proportional to 6,145.65, 9,218.48 and 3,679.20

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Solution

The fourth proportional to 6,145.65, 9,218.48 and 3,679.20 is: 5,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.65 : 9,218.48 = 3,679.20 : x
  2. Step 2: Convert to fraction form
    6,145.65/9,218.48 = 3,679.20/x
  3. Step 3: Cross multiply
    6,145.65x = 9,218.48 × 3,679.20
  4. Step 4: Simplify right side
    6,145.65x = 33,916,613.22
  5. Step 5: Solve for x
    x = 33,916,613.22/6,145.65
  6. Step 6: Final answer
    x = 5,518.80

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Similar ratio
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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.