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Finding the Fourth Proportional to 13,163.48, 19,758.88 and 7,627.64

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Solution

The fourth proportional to 13,163.48, 19,758.88 and 7,627.64 is: 11,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.48 : 19,758.88 = 7,627.64 : x
  2. Step 2: Convert to fraction form
    13,163.48/19,758.88 = 7,627.64/x
  3. Step 3: Cross multiply
    13,163.48x = 19,758.88 × 7,627.64
  4. Step 4: Simplify right side
    13,163.48x = 150,713,534.18
  5. Step 5: Solve for x
    x = 150,713,534.18/13,163.48
  6. Step 6: Final answer
    x = 11,449.37

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1.5x scale

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.