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Finding the Fourth Proportional to 12,857.50, 17,744.07 and 7,268.86

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Solution

The fourth proportional to 12,857.50, 17,744.07 and 7,268.86 is: 10,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.50 : 17,744.07 = 7,268.86 : x
  2. Step 2: Convert to fraction form
    12,857.50/17,744.07 = 7,268.86/x
  3. Step 3: Cross multiply
    12,857.50x = 17,744.07 × 7,268.86
  4. Step 4: Simplify right side
    12,857.50x = 128,979,160.66
  5. Step 5: Solve for x
    x = 128,979,160.66/12,857.50
  6. Step 6: Final answer
    x = 10,031.43

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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.