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Finding the Fourth Proportional to 12,644.88, 18,977.04 and 5,724.24

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Solution

The fourth proportional to 12,644.88, 18,977.04 and 5,724.24 is: 8,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.88 : 18,977.04 = 5,724.24 : x
  2. Step 2: Convert to fraction form
    12,644.88/18,977.04 = 5,724.24/x
  3. Step 3: Cross multiply
    12,644.88x = 18,977.04 × 5,724.24
  4. Step 4: Simplify right side
    12,644.88x = 108,629,131.45
  5. Step 5: Solve for x
    x = 108,629,131.45/12,644.88
  6. Step 6: Final answer
    x = 8,590.76

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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.