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Finding the Fourth Proportional to 9,616.42, 13,270.62 and 5,424.64

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Solution

The fourth proportional to 9,616.42, 13,270.62 and 5,424.64 is: 7,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.42 : 13,270.62 = 5,424.64 : x
  2. Step 2: Convert to fraction form
    9,616.42/13,270.62 = 5,424.64/x
  3. Step 3: Cross multiply
    9,616.42x = 13,270.62 × 5,424.64
  4. Step 4: Simplify right side
    9,616.42x = 71,988,336.08
  5. Step 5: Solve for x
    x = 71,988,336.08/9,616.42
  6. Step 6: Final answer
    x = 7,485.98

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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.