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Finding the Fourth Proportional to 7,144.70, 9,859.54 and 3,958.21

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Solution

The fourth proportional to 7,144.70, 9,859.54 and 3,958.21 is: 5,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.70 : 9,859.54 = 3,958.21 : x
  2. Step 2: Convert to fraction form
    7,144.70/9,859.54 = 3,958.21/x
  3. Step 3: Cross multiply
    7,144.70x = 9,859.54 × 3,958.21
  4. Step 4: Simplify right side
    7,144.70x = 39,026,084.21
  5. Step 5: Solve for x
    x = 39,026,084.21/7,144.70
  6. Step 6: Final answer
    x = 5,462.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.