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Finding the Fourth Proportional to 12,842.79, 19,266 and 3,958.84

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Solution

The fourth proportional to 12,842.79, 19,266 and 3,958.84 is: 5,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.79 : 19,266 = 3,958.84 : x
  2. Step 2: Convert to fraction form
    12,842.79/19,266 = 3,958.84/x
  3. Step 3: Cross multiply
    12,842.79x = 19,266 × 3,958.84
  4. Step 4: Simplify right side
    12,842.79x = 76,271,011.44
  5. Step 5: Solve for x
    x = 76,271,011.44/12,842.79
  6. Step 6: Final answer
    x = 5,938.82

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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.