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Finding the Fourth Proportional to 9,698.57, 13,383.97 and 5,449.64

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Solution

The fourth proportional to 9,698.57, 13,383.97 and 5,449.64 is: 7,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.57 : 13,383.97 = 5,449.64 : x
  2. Step 2: Convert to fraction form
    9,698.57/13,383.97 = 5,449.64/x
  3. Step 3: Cross multiply
    9,698.57x = 13,383.97 × 5,449.64
  4. Step 4: Simplify right side
    9,698.57x = 72,937,818.27
  5. Step 5: Solve for x
    x = 72,937,818.27/9,698.57
  6. Step 6: Final answer
    x = 7,520.47

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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.