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Finding the Fourth Proportional to 17,140.12, 25,713.96 and 7,287.84

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Solution

The fourth proportional to 17,140.12, 25,713.96 and 7,287.84 is: 10,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.12 : 25,713.96 = 7,287.84 : x
  2. Step 2: Convert to fraction form
    17,140.12/25,713.96 = 7,287.84/x
  3. Step 3: Cross multiply
    17,140.12x = 25,713.96 × 7,287.84
  4. Step 4: Simplify right side
    17,140.12x = 187,399,226.25
  5. Step 5: Solve for x
    x = 187,399,226.25/17,140.12
  6. Step 6: Final answer
    x = 10,933.37

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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.