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Finding the Fourth Proportional to 12,233.34, 16,880.40 and 7,749.18

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Solution

The fourth proportional to 12,233.34, 16,880.40 and 7,749.18 is: 10,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.34 : 16,880.40 = 7,749.18 : x
  2. Step 2: Convert to fraction form
    12,233.34/16,880.40 = 7,749.18/x
  3. Step 3: Cross multiply
    12,233.34x = 16,880.40 × 7,749.18
  4. Step 4: Simplify right side
    12,233.34x = 130,809,258.07
  5. Step 5: Solve for x
    x = 130,809,258.07/12,233.34
  6. Step 6: Final answer
    x = 10,692.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.