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Finding the Fourth Proportional to 25,748.42, 38,623.30 and 8,218.23

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Solution

The fourth proportional to 25,748.42, 38,623.30 and 8,218.23 is: 12,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,748.42 : 38,623.30 = 8,218.23 : x
  2. Step 2: Convert to fraction form
    25,748.42/38,623.30 = 8,218.23/x
  3. Step 3: Cross multiply
    25,748.42x = 38,623.30 × 8,218.23
  4. Step 4: Simplify right side
    25,748.42x = 317,415,142.21
  5. Step 5: Solve for x
    x = 317,415,142.21/25,748.42
  6. Step 6: Final answer
    x = 12,327.56

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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.