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Finding the Fourth Proportional to 7,146.97, 10,724.51 and 3,859.99

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Solution

The fourth proportional to 7,146.97, 10,724.51 and 3,859.99 is: 5,792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.97 : 10,724.51 = 3,859.99 : x
  2. Step 2: Convert to fraction form
    7,146.97/10,724.51 = 3,859.99/x
  3. Step 3: Cross multiply
    7,146.97x = 10,724.51 × 3,859.99
  4. Step 4: Simplify right side
    7,146.97x = 41,396,501.35
  5. Step 5: Solve for x
    x = 41,396,501.35/7,146.97
  6. Step 6: Final answer
    x = 5,792.18

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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.