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Finding the Fourth Proportional to 7,812.75, 11,723.67 and 3,133.20

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Solution

The fourth proportional to 7,812.75, 11,723.67 and 3,133.20 is: 4,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.75 : 11,723.67 = 3,133.20 : x
  2. Step 2: Convert to fraction form
    7,812.75/11,723.67 = 3,133.20/x
  3. Step 3: Cross multiply
    7,812.75x = 11,723.67 × 3,133.20
  4. Step 4: Simplify right side
    7,812.75x = 36,732,602.84
  5. Step 5: Solve for x
    x = 36,732,602.84/7,812.75
  6. Step 6: Final answer
    x = 4,701.62

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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.