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Finding the Fourth Proportional to 9,616.41, 13,270.50 and 5,367.25

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Solution

The fourth proportional to 9,616.41, 13,270.50 and 5,367.25 is: 7,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.41 : 13,270.50 = 5,367.25 : x
  2. Step 2: Convert to fraction form
    9,616.41/13,270.50 = 5,367.25/x
  3. Step 3: Cross multiply
    9,616.41x = 13,270.50 × 5,367.25
  4. Step 4: Simplify right side
    9,616.41x = 71,226,091.13
  5. Step 5: Solve for x
    x = 71,226,091.13/9,616.41
  6. Step 6: Final answer
    x = 7,406.72

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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.