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Finding the Fourth Proportional to 9,265.20, 13,908.60 and 9,200.40

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Solution

The fourth proportional to 9,265.20, 13,908.60 and 9,200.40 is: 13,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.20 : 13,908.60 = 9,200.40 : x
  2. Step 2: Convert to fraction form
    9,265.20/13,908.60 = 9,200.40/x
  3. Step 3: Cross multiply
    9,265.20x = 13,908.60 × 9,200.40
  4. Step 4: Simplify right side
    9,265.20x = 127,964,683.44
  5. Step 5: Solve for x
    x = 127,964,683.44/9,265.20
  6. Step 6: Final answer
    x = 13,811.32

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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.