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Finding the Fourth Proportional to 13,133.20, 19,705.20 and 4,817.20

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Solution

The fourth proportional to 13,133.20, 19,705.20 and 4,817.20 is: 7,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.20 : 19,705.20 = 4,817.20 : x
  2. Step 2: Convert to fraction form
    13,133.20/19,705.20 = 4,817.20/x
  3. Step 3: Cross multiply
    13,133.20x = 19,705.20 × 4,817.20
  4. Step 4: Simplify right side
    13,133.20x = 94,923,889.44
  5. Step 5: Solve for x
    x = 94,923,889.44/13,133.20
  6. Step 6: Final answer
    x = 7,227.78

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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.