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Finding the Fourth Proportional to 9,350.40, 13,996.80 and 7,680

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Solution

The fourth proportional to 9,350.40, 13,996.80 and 7,680 is: 11,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.40 : 13,996.80 = 7,680 : x
  2. Step 2: Convert to fraction form
    9,350.40/13,996.80 = 7,680/x
  3. Step 3: Cross multiply
    9,350.40x = 13,996.80 × 7,680
  4. Step 4: Simplify right side
    9,350.40x = 107,495,424
  5. Step 5: Solve for x
    x = 107,495,424/9,350.40
  6. Step 6: Final answer
    x = 11,496.34

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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.