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Finding the Fourth Proportional to 12,686.52, 19,029.78 and 7,489.56

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Solution

The fourth proportional to 12,686.52, 19,029.78 and 7,489.56 is: 11,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.52 : 19,029.78 = 7,489.56 : x
  2. Step 2: Convert to fraction form
    12,686.52/19,029.78 = 7,489.56/x
  3. Step 3: Cross multiply
    12,686.52x = 19,029.78 × 7,489.56
  4. Step 4: Simplify right side
    12,686.52x = 142,524,679.10
  5. Step 5: Solve for x
    x = 142,524,679.10/12,686.52
  6. Step 6: Final answer
    x = 11,234.34

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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.