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Finding the Fourth Proportional to 2,173.10, 3,259.65 and 613.10

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Solution

The fourth proportional to 2,173.10, 3,259.65 and 613.10 is: 919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.10 : 3,259.65 = 613.10 : x
  2. Step 2: Convert to fraction form
    2,173.10/3,259.65 = 613.10/x
  3. Step 3: Cross multiply
    2,173.10x = 3,259.65 × 613.10
  4. Step 4: Simplify right side
    2,173.10x = 1,998,499.56
  5. Step 5: Solve for x
    x = 1,998,499.56/2,173.10
  6. Step 6: Final answer
    x = 919.65

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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.