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Finding the Fourth Proportional to 9,918.50, 14,880.97 and 7,734.74

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Solution

The fourth proportional to 9,918.50, 14,880.97 and 7,734.74 is: 11,604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.50 : 14,880.97 = 7,734.74 : x
  2. Step 2: Convert to fraction form
    9,918.50/14,880.97 = 7,734.74/x
  3. Step 3: Cross multiply
    9,918.50x = 14,880.97 × 7,734.74
  4. Step 4: Simplify right side
    9,918.50x = 115,100,433.90
  5. Step 5: Solve for x
    x = 115,100,433.90/9,918.50
  6. Step 6: Final answer
    x = 11,604.62

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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.