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Finding the Fourth Proportional to 3,459.46, 5,189.28 and 862.36

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Solution

The fourth proportional to 3,459.46, 5,189.28 and 862.36 is: 1,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.46 : 5,189.28 = 862.36 : x
  2. Step 2: Convert to fraction form
    3,459.46/5,189.28 = 862.36/x
  3. Step 3: Cross multiply
    3,459.46x = 5,189.28 × 862.36
  4. Step 4: Simplify right side
    3,459.46x = 4,475,027.50
  5. Step 5: Solve for x
    x = 4,475,027.50/3,459.46
  6. Step 6: Final answer
    x = 1,293.56

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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.