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Finding the Fourth Proportional to 9,496.80, 14,245.20 and 9,132.30

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Solution

The fourth proportional to 9,496.80, 14,245.20 and 9,132.30 is: 13,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.80 : 14,245.20 = 9,132.30 : x
  2. Step 2: Convert to fraction form
    9,496.80/14,245.20 = 9,132.30/x
  3. Step 3: Cross multiply
    9,496.80x = 14,245.20 × 9,132.30
  4. Step 4: Simplify right side
    9,496.80x = 130,091,439.96
  5. Step 5: Solve for x
    x = 130,091,439.96/9,496.80
  6. Step 6: Final answer
    x = 13,698.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.