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Finding the Fourth Proportional to 3,561.50, 5,343.10 and 1,613.18

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Solution

The fourth proportional to 3,561.50, 5,343.10 and 1,613.18 is: 2,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.50 : 5,343.10 = 1,613.18 : x
  2. Step 2: Convert to fraction form
    3,561.50/5,343.10 = 1,613.18/x
  3. Step 3: Cross multiply
    3,561.50x = 5,343.10 × 1,613.18
  4. Step 4: Simplify right side
    3,561.50x = 8,619,382.06
  5. Step 5: Solve for x
    x = 8,619,382.06/3,561.50
  6. Step 6: Final answer
    x = 2,420.16

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Half scale
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Double scale
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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.