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Finding the Fourth Proportional to 9,302.20, 13,960.62 and 8,208.76

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Solution

The fourth proportional to 9,302.20, 13,960.62 and 8,208.76 is: 12,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.20 : 13,960.62 = 8,208.76 : x
  2. Step 2: Convert to fraction form
    9,302.20/13,960.62 = 8,208.76/x
  3. Step 3: Cross multiply
    9,302.20x = 13,960.62 × 8,208.76
  4. Step 4: Simplify right side
    9,302.20x = 114,599,379.03
  5. Step 5: Solve for x
    x = 114,599,379.03/9,302.20
  6. Step 6: Final answer
    x = 12,319.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.