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Finding the Fourth Proportional to 9,503.67, 13,115.02 and 5,311.92

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Solution

The fourth proportional to 9,503.67, 13,115.02 and 5,311.92 is: 7,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.67 : 13,115.02 = 5,311.92 : x
  2. Step 2: Convert to fraction form
    9,503.67/13,115.02 = 5,311.92/x
  3. Step 3: Cross multiply
    9,503.67x = 13,115.02 × 5,311.92
  4. Step 4: Simplify right side
    9,503.67x = 69,665,937.04
  5. Step 5: Solve for x
    x = 69,665,937.04/9,503.67
  6. Step 6: Final answer
    x = 7,330.42

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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.