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Finding the Fourth Proportional to 12,765.12, 17,616 and 7,176

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Solution

The fourth proportional to 12,765.12, 17,616 and 7,176 is: 9,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.12 : 17,616 = 7,176 : x
  2. Step 2: Convert to fraction form
    12,765.12/17,616 = 7,176/x
  3. Step 3: Cross multiply
    12,765.12x = 17,616 × 7,176
  4. Step 4: Simplify right side
    12,765.12x = 126,412,416
  5. Step 5: Solve for x
    x = 126,412,416/12,765.12
  6. Step 6: Final answer
    x = 9,902.96

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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.