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Finding the Fourth Proportional to 7,911.28, 11,850.54 and 5,724.28

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Solution

The fourth proportional to 7,911.28, 11,850.54 and 5,724.28 is: 8,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.28 : 11,850.54 = 5,724.28 : x
  2. Step 2: Convert to fraction form
    7,911.28/11,850.54 = 5,724.28/x
  3. Step 3: Cross multiply
    7,911.28x = 11,850.54 × 5,724.28
  4. Step 4: Simplify right side
    7,911.28x = 67,835,809.11
  5. Step 5: Solve for x
    x = 67,835,809.11/7,911.28
  6. Step 6: Final answer
    x = 8,574.57

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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.