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Finding the Fourth Proportional to 7,207.81, 10,812.20 and 3,047.29

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Solution

The fourth proportional to 7,207.81, 10,812.20 and 3,047.29 is: 4,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.81 : 10,812.20 = 3,047.29 : x
  2. Step 2: Convert to fraction form
    7,207.81/10,812.20 = 3,047.29/x
  3. Step 3: Cross multiply
    7,207.81x = 10,812.20 × 3,047.29
  4. Step 4: Simplify right side
    7,207.81x = 32,947,866.67
  5. Step 5: Solve for x
    x = 32,947,866.67/7,207.81
  6. Step 6: Final answer
    x = 4,571.14

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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.