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Finding the Fourth Proportional to 8,449.21, 11,661.36 and 4,914.49

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Solution

The fourth proportional to 8,449.21, 11,661.36 and 4,914.49 is: 6,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.21 : 11,661.36 = 4,914.49 : x
  2. Step 2: Convert to fraction form
    8,449.21/11,661.36 = 4,914.49/x
  3. Step 3: Cross multiply
    8,449.21x = 11,661.36 × 4,914.49
  4. Step 4: Simplify right side
    8,449.21x = 57,309,637.11
  5. Step 5: Solve for x
    x = 57,309,637.11/8,449.21
  6. Step 6: Final answer
    x = 6,782.84

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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.