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Finding the Fourth Proportional to 12,782.63, 19,174.21 and 3,422.64

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Solution

The fourth proportional to 12,782.63, 19,174.21 and 3,422.64 is: 5,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.63 : 19,174.21 = 3,422.64 : x
  2. Step 2: Convert to fraction form
    12,782.63/19,174.21 = 3,422.64/x
  3. Step 3: Cross multiply
    12,782.63x = 19,174.21 × 3,422.64
  4. Step 4: Simplify right side
    12,782.63x = 65,626,481.46
  5. Step 5: Solve for x
    x = 65,626,481.46/12,782.63
  6. Step 6: Final answer
    x = 5,134.03

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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.