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Finding the Fourth Proportional to 9,790.50, 13,517.10 and 7,548.15

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Solution

The fourth proportional to 9,790.50, 13,517.10 and 7,548.15 is: 10,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.50 : 13,517.10 = 7,548.15 : x
  2. Step 2: Convert to fraction form
    9,790.50/13,517.10 = 7,548.15/x
  3. Step 3: Cross multiply
    9,790.50x = 13,517.10 × 7,548.15
  4. Step 4: Simplify right side
    9,790.50x = 102,029,098.37
  5. Step 5: Solve for x
    x = 102,029,098.37/9,790.50
  6. Step 6: Final answer
    x = 10,421.23

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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.