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Finding the Fourth Proportional to 3,459.14, 5,189.49 and 993.86

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Solution

The fourth proportional to 3,459.14, 5,189.49 and 993.86 is: 1,491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.14 : 5,189.49 = 993.86 : x
  2. Step 2: Convert to fraction form
    3,459.14/5,189.49 = 993.86/x
  3. Step 3: Cross multiply
    3,459.14x = 5,189.49 × 993.86
  4. Step 4: Simplify right side
    3,459.14x = 5,157,626.53
  5. Step 5: Solve for x
    x = 5,157,626.53/3,459.14
  6. Step 6: Final answer
    x = 1,491.01

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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.