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Finding the Fourth Proportional to 13,021.29, 17,968.29 and 7,643.15

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Solution

The fourth proportional to 13,021.29, 17,968.29 and 7,643.15 is: 10,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.29 : 17,968.29 = 7,643.15 : x
  2. Step 2: Convert to fraction form
    13,021.29/17,968.29 = 7,643.15/x
  3. Step 3: Cross multiply
    13,021.29x = 17,968.29 × 7,643.15
  4. Step 4: Simplify right side
    13,021.29x = 137,334,245.87
  5. Step 5: Solve for x
    x = 137,334,245.87/13,021.29
  6. Step 6: Final answer
    x = 10,546.90

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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.