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Finding the Fourth Proportional to 7,817.28, 11,727.12 and 3,137.28

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Solution

The fourth proportional to 7,817.28, 11,727.12 and 3,137.28 is: 4,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.28 : 11,727.12 = 3,137.28 : x
  2. Step 2: Convert to fraction form
    7,817.28/11,727.12 = 3,137.28/x
  3. Step 3: Cross multiply
    7,817.28x = 11,727.12 × 3,137.28
  4. Step 4: Simplify right side
    7,817.28x = 36,791,259.03
  5. Step 5: Solve for x
    x = 36,791,259.03/7,817.28
  6. Step 6: Final answer
    x = 4,706.40

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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.