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Finding the Fourth Proportional to 8,554.37, 12,829.10 and 3,289.01

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Solution

The fourth proportional to 8,554.37, 12,829.10 and 3,289.01 is: 4,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.37 : 12,829.10 = 3,289.01 : x
  2. Step 2: Convert to fraction form
    8,554.37/12,829.10 = 3,289.01/x
  3. Step 3: Cross multiply
    8,554.37x = 12,829.10 × 3,289.01
  4. Step 4: Simplify right side
    8,554.37x = 42,194,957.60
  5. Step 5: Solve for x
    x = 42,194,957.60/8,554.37
  6. Step 6: Final answer
    x = 4,932.56

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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.