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Finding the Fourth Proportional to 7,170, 10,759.86 and 2,553

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Solution

The fourth proportional to 7,170, 10,759.86 and 2,553 is: 3,831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170 : 10,759.86 = 2,553 : x
  2. Step 2: Convert to fraction form
    7,170/10,759.86 = 2,553/x
  3. Step 3: Cross multiply
    7,170x = 10,759.86 × 2,553
  4. Step 4: Simplify right side
    7,170x = 27,469,922.58
  5. Step 5: Solve for x
    x = 27,469,922.58/7,170
  6. Step 6: Final answer
    x = 3,831.23

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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.