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Finding the Fourth Proportional to 12,797.85, 17,661.21 and 7,132.44

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Solution

The fourth proportional to 12,797.85, 17,661.21 and 7,132.44 is: 9,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.85 : 17,661.21 = 7,132.44 : x
  2. Step 2: Convert to fraction form
    12,797.85/17,661.21 = 7,132.44/x
  3. Step 3: Cross multiply
    12,797.85x = 17,661.21 × 7,132.44
  4. Step 4: Simplify right side
    12,797.85x = 125,967,396.68
  5. Step 5: Solve for x
    x = 125,967,396.68/12,797.85
  6. Step 6: Final answer
    x = 9,842.86

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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.