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Finding the Fourth Proportional to 11,494.85, 15,863.81 and 6,459.30

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Solution

The fourth proportional to 11,494.85, 15,863.81 and 6,459.30 is: 8,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.85 : 15,863.81 = 6,459.30 : x
  2. Step 2: Convert to fraction form
    11,494.85/15,863.81 = 6,459.30/x
  3. Step 3: Cross multiply
    11,494.85x = 15,863.81 × 6,459.30
  4. Step 4: Simplify right side
    11,494.85x = 102,469,075.64
  5. Step 5: Solve for x
    x = 102,469,075.64/11,494.85
  6. Step 6: Final answer
    x = 8,914.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.