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Finding the Fourth Proportional to 9,616.50, 13,270.86 and 5,424.84

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Solution

The fourth proportional to 9,616.50, 13,270.86 and 5,424.84 is: 7,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.50 : 13,270.86 = 5,424.84 : x
  2. Step 2: Convert to fraction form
    9,616.50/13,270.86 = 5,424.84/x
  3. Step 3: Cross multiply
    9,616.50x = 13,270.86 × 5,424.84
  4. Step 4: Simplify right side
    9,616.50x = 71,992,292.16
  5. Step 5: Solve for x
    x = 71,992,292.16/9,616.50
  6. Step 6: Final answer
    x = 7,486.33

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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.