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Finding the Fourth Proportional to 5,459.49, 8,189.28 and 1,949.66

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Solution

The fourth proportional to 5,459.49, 8,189.28 and 1,949.66 is: 2,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.49 : 8,189.28 = 1,949.66 : x
  2. Step 2: Convert to fraction form
    5,459.49/8,189.28 = 1,949.66/x
  3. Step 3: Cross multiply
    5,459.49x = 8,189.28 × 1,949.66
  4. Step 4: Simplify right side
    5,459.49x = 15,966,311.64
  5. Step 5: Solve for x
    x = 15,966,311.64/5,459.49
  6. Step 6: Final answer
    x = 2,924.51

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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.