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Finding the Fourth Proportional to 11,247, 16,871.31 and 4,321.50

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Solution

The fourth proportional to 11,247, 16,871.31 and 4,321.50 is: 6,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,247 : 16,871.31 = 4,321.50 : x
  2. Step 2: Convert to fraction form
    11,247/16,871.31 = 4,321.50/x
  3. Step 3: Cross multiply
    11,247x = 16,871.31 × 4,321.50
  4. Step 4: Simplify right side
    11,247x = 72,909,366.17
  5. Step 5: Solve for x
    x = 72,909,366.17/11,247
  6. Step 6: Final answer
    x = 6,482.56

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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.