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Finding the Fourth Proportional to 9,772, 14,660.32 and 3,198.18

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Solution

The fourth proportional to 9,772, 14,660.32 and 3,198.18 is: 4,798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772 : 14,660.32 = 3,198.18 : x
  2. Step 2: Convert to fraction form
    9,772/14,660.32 = 3,198.18/x
  3. Step 3: Cross multiply
    9,772x = 14,660.32 × 3,198.18
  4. Step 4: Simplify right side
    9,772x = 46,886,342.22
  5. Step 5: Solve for x
    x = 46,886,342.22/9,772
  6. Step 6: Final answer
    x = 4,798.03

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Why These Related Problems?

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