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Finding the Fourth Proportional to 8,107.98, 11,188.80 and 4,571.12

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Solution

The fourth proportional to 8,107.98, 11,188.80 and 4,571.12 is: 6,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.98 : 11,188.80 = 4,571.12 : x
  2. Step 2: Convert to fraction form
    8,107.98/11,188.80 = 4,571.12/x
  3. Step 3: Cross multiply
    8,107.98x = 11,188.80 × 4,571.12
  4. Step 4: Simplify right side
    8,107.98x = 51,145,291.51
  5. Step 5: Solve for x
    x = 51,145,291.51/8,107.98
  6. Step 6: Final answer
    x = 6,308.02

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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.