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Finding the Fourth Proportional to 9,772.80, 14,659.80 and 3,928.64

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Solution

The fourth proportional to 9,772.80, 14,659.80 and 3,928.64 is: 5,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.80 : 14,659.80 = 3,928.64 : x
  2. Step 2: Convert to fraction form
    9,772.80/14,659.80 = 3,928.64/x
  3. Step 3: Cross multiply
    9,772.80x = 14,659.80 × 3,928.64
  4. Step 4: Simplify right side
    9,772.80x = 57,593,076.67
  5. Step 5: Solve for x
    x = 57,593,076.67/9,772.80
  6. Step 6: Final answer
    x = 5,893.20

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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.