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Finding the Fourth Proportional to 3,459.68, 5,191.12 and 1,729.44

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Solution

The fourth proportional to 3,459.68, 5,191.12 and 1,729.44 is: 2,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.68 : 5,191.12 = 1,729.44 : x
  2. Step 2: Convert to fraction form
    3,459.68/5,191.12 = 1,729.44/x
  3. Step 3: Cross multiply
    3,459.68x = 5,191.12 × 1,729.44
  4. Step 4: Simplify right side
    3,459.68x = 8,977,730.57
  5. Step 5: Solve for x
    x = 8,977,730.57/3,459.68
  6. Step 6: Final answer
    x = 2,594.96

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Half scale
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Double scale
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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.