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Finding the Fourth Proportional to 12,687.98, 19,013.77 and 7,129.64

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Solution

The fourth proportional to 12,687.98, 19,013.77 and 7,129.64 is: 10,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.98 : 19,013.77 = 7,129.64 : x
  2. Step 2: Convert to fraction form
    12,687.98/19,013.77 = 7,129.64/x
  3. Step 3: Cross multiply
    12,687.98x = 19,013.77 × 7,129.64
  4. Step 4: Simplify right side
    12,687.98x = 135,561,254.56
  5. Step 5: Solve for x
    x = 135,561,254.56/12,687.98
  6. Step 6: Final answer
    x = 10,684.23

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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.