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Finding the Fourth Proportional to 7,532.75, 11,298.89 and 1,986.12

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Solution

The fourth proportional to 7,532.75, 11,298.89 and 1,986.12 is: 2,979.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.75 : 11,298.89 = 1,986.12 : x
  2. Step 2: Convert to fraction form
    7,532.75/11,298.89 = 1,986.12/x
  3. Step 3: Cross multiply
    7,532.75x = 11,298.89 × 1,986.12
  4. Step 4: Simplify right side
    7,532.75x = 22,440,956.37
  5. Step 5: Solve for x
    x = 22,440,956.37/7,532.75
  6. Step 6: Final answer
    x = 2,979.12

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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.