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Finding the Fourth Proportional to 3,459.75, 5,189.60 and 862.68

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Solution

The fourth proportional to 3,459.75, 5,189.60 and 862.68 is: 1,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.75 : 5,189.60 = 862.68 : x
  2. Step 2: Convert to fraction form
    3,459.75/5,189.60 = 862.68/x
  3. Step 3: Cross multiply
    3,459.75x = 5,189.60 × 862.68
  4. Step 4: Simplify right side
    3,459.75x = 4,476,964.13
  5. Step 5: Solve for x
    x = 4,476,964.13/3,459.75
  6. Step 6: Final answer
    x = 1,294.01

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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.