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Finding the Fourth Proportional to 8,169, 12,234 and 4,698.96

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Solution

The fourth proportional to 8,169, 12,234 and 4,698.96 is: 7,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169 : 12,234 = 4,698.96 : x
  2. Step 2: Convert to fraction form
    8,169/12,234 = 4,698.96/x
  3. Step 3: Cross multiply
    8,169x = 12,234 × 4,698.96
  4. Step 4: Simplify right side
    8,169x = 57,487,076.64
  5. Step 5: Solve for x
    x = 57,487,076.64/8,169
  6. Step 6: Final answer
    x = 7,037.22

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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.