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Finding the Fourth Proportional to 7,144.94, 10,717.00 and 2,147.21

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Solution

The fourth proportional to 7,144.94, 10,717.00 and 2,147.21 is: 3,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.94 : 10,717.00 = 2,147.21 : x
  2. Step 2: Convert to fraction form
    7,144.94/10,717.00 = 2,147.21/x
  3. Step 3: Cross multiply
    7,144.94x = 10,717.00 × 2,147.21
  4. Step 4: Simplify right side
    7,144.94x = 23,011,585.25
  5. Step 5: Solve for x
    x = 23,011,585.25/7,144.94
  6. Step 6: Final answer
    x = 3,220.68

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1.5x scale

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.